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Finding the Fourth Proportional to 4,965.53, 7,453.76 and 3,932.17

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Solution

The fourth proportional to 4,965.53, 7,453.76 and 3,932.17 is: 5,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.53 : 7,453.76 = 3,932.17 : x
  2. Step 2: Convert to fraction form
    4,965.53/7,453.76 = 3,932.17/x
  3. Step 3: Cross multiply
    4,965.53x = 7,453.76 × 3,932.17
  4. Step 4: Simplify right side
    4,965.53x = 29,309,413.16
  5. Step 5: Solve for x
    x = 29,309,413.16/4,965.53
  6. Step 6: Final answer
    x = 5,902.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.