A 4-month-old male infant from rural India is brought to the clinic with a history of asymmetric skin folds and limited hip abduction on the right side. On examination, Barlow and Ortolani tests are negative, but Galeazzi sign is positive. Pelvic X-ray shows a dislocated right hip with a shallow acetabulum (acetabular index 35°). What is the most appropriate next step in management?