In just her sixth outing, stylish Zafar was the more aggressive, and it paid off as she reached an assured second half-century in as many matches - unrattled even by a short-pitched statement of displeasure from Sophie Devine.
Sixteen-year-old Kiwi leg-spinner Amelia Kerr continued to show composure and variations beyond her years, however, and would deliver the sought-after wicket, trapping the right-handed opener on 50 to have Pakistan 101 for two in the 24th over, after Satterthwaite had broken through five overs earlier to remove Nahida Khan, caught on 31.
Thamsyn Newton had gone into the match with an ODI career-best of 1-10, and emerged with her maiden ODI five-wicket bag - dislodging Javeria Khan in the 39th over immediately after the Pakistani first drop had posted her own half century, then claiming Bismah Maroof on 22.
They were important strikes, the experienced Pakistani pair having looked good to continue their side's early momentum before their dismissals led to the familiar story of the later order quickly falling away.
Both blades had sent catches to Kerr, who would go on to collect three grabs in all - in addition to her own new career best bowling performance of 4-42, wrapping up the Pakistan innings on 220 with three balls to spare.
The confident performance from the two newest members of the New Zealand side can only have given Suzie Bates and coach Haidee Tiffen cheer as they sat back and watched the action from the sidelines.
Satterthwaite, Player of the Series, would reach her half-century in just the eighth over, posting it with her 11th boundary. The dismissal of Curtis soon after ushered Devine to the crease at first drop to punch the first six of the innings off Pakistan captain Sana Mir, but Devine's knock would prove a short one on this occasion, then Liz Perry was trapped in the 20th over by Nida Dar just as the run chase had dropped to fewer than 100.
But by then, the ever-composed Satterthwaite was already on 78*, well on her way to rewriting the record books.
She would reach her century off just 83 balls, including 15 boundaries before eventually being caught fending on 123. Following earlier scores of 18, 137* and 115* in the Series, Satterthwaite has scored 393 runs from her four innings and topped the averages with 196.50 - it was also her third century in as many innings, having not been required to bat in the fourth ODI on Thursday.
The White Ferns chased down the runs with 11.3 overs to spare, Thamsyn Newton smashing a boundary to cement the victory and the series sweep.
The tour has one more match remaining, the teams to meet in a sole Twenty20 International at Saxton Oval at 3pm on Monday afternoon.
