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Finding the Fourth Proportional to 2,496.52, 3,712.85 and 2,447.24

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Solution

The fourth proportional to 2,496.52, 3,712.85 and 2,447.24 is: 3,639.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496.52 : 3,712.85 = 2,447.24 : x
  2. Step 2: Convert to fraction form
    2,496.52/3,712.85 = 2,447.24/x
  3. Step 3: Cross multiply
    2,496.52x = 3,712.85 × 2,447.24
  4. Step 4: Simplify right side
    2,496.52x = 9,086,235.03
  5. Step 5: Solve for x
    x = 9,086,235.03/2,496.52
  6. Step 6: Final answer
    x = 3,639.56

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.