Mustafizur started aggressively in the next over and dismissed Jahangir for 18 runs off 20 balls.
America could not recover from this double blow and kept losing wickets at regular intervals. Rishad Hussain bowled tight in the middle overs and gave only seven runs in the allotted four overs.
Mustafiz gave the best performance of his career by taking two wickets in the last over and restricted the host team to 104 runs for 9 wickets.
Tanzim Hasan Sakib, Rishad and Shakib Al Hasan took one wicket apiece.
Though the match has turned out to be a decider as USA have already won the three-match series, Bangladesh players will be looking for a consolation win ahead of their T20 World Cup campaign starting on June 8.
Bangladesh displayed disappointing batting and bowling performances, losing to the associate nation in the first two matches by 5 wickets and 6 runs respectively.