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Date: 10 August 1984 / 11 August 1984
Heats
Final
| Rank | Name | Nation | Time |
| 1 | Lillie Leatherwood; Sherri Howard; Valerie Brisco-Hooks; Chandra Cheeseborough { + Diane Dixon; Denean Howard} | USA | 3:18.29 |
| 2 | Charmaine Crooks; Jillian Richardson; Molly Killingbeck; Marita Payne { + Dana Wright} | CAN | 3:21.21 |
| 3 | Heike Schulte-Mattler; Ute Thimm; Heide Gaugel; Gaby Bussmann { + Christina Sussiek; Nicole Leistenschneider} | FRG | 3:22.98 |
| 4 | Michelle Scutt; Helen Barnett; Gladys Taylor; Joslyn Hoyte-Smith | GBR | 3:25.51 |
| 5 | Ilrey Oliver; Cynthia Green; Cathy Rattray; Grace Jackson { + Andrea Thomas} | JAM | 3:27.51 |
| 6 | Patrizia Lombardo; Cosetta Campana; Marisa Masullo; Erica Rossi { + Giuseppina Cirulli} | ITA | 3:30.82 |
| 7 | M.D. Valsamma; Vandana Rao; Shiny Abraham; P.T. Usha | IND | 3:32.49 |
| 8 | Evelyn Mathieu; Madeline de Jesus; Angelita Lind; Marie Lande Mathieu | PUR | |
| Heats | |||
| 9 | Joycelyn Joseph; Ruperta Charles; Monica Stevens; Laverne Bryan | ANT | 3:39.32 |
| 10 | Martha Appiah; Mercy Addy; Mary Mensah; Grace Bakari | GHA | 3:40.38 |