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Finding the Fourth Proportional to 3,727.52, 5,132.64 and 3,230.20

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Solution

The fourth proportional to 3,727.52, 5,132.64 and 3,230.20 is: 4,447.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727.52 : 5,132.64 = 3,230.20 : x
  2. Step 2: Convert to fraction form
    3,727.52/5,132.64 = 3,230.20/x
  3. Step 3: Cross multiply
    3,727.52x = 5,132.64 × 3,230.20
  4. Step 4: Simplify right side
    3,727.52x = 16,579,453.73
  5. Step 5: Solve for x
    x = 16,579,453.73/3,727.52
  6. Step 6: Final answer
    x = 4,447.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.