Debuted #59 week-ending June 8, 1963, “Ring Of Fire” peaks at #17 on the Hot 100, week-ending, July 27, 1963. Having charted 13 weeks overall — on its final week on Billboard, the single drops out at #39 for the week-ending, August 27, 1963.
Source: The Billboard Hot 100 Pop Singles Charts [1963]