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Finding the Fourth Proportional to 5,752.70, 7,932.89 and 5,417.87

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Solution

The fourth proportional to 5,752.70, 7,932.89 and 5,417.87 is: 7,471.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,752.70 : 7,932.89 = 5,417.87 : x
  2. Step 2: Convert to fraction form
    5,752.70/7,932.89 = 5,417.87/x
  3. Step 3: Cross multiply
    5,752.70x = 7,932.89 × 5,417.87
  4. Step 4: Simplify right side
    5,752.70x = 42,979,354.77
  5. Step 5: Solve for x
    x = 42,979,354.77/5,752.70
  6. Step 6: Final answer
    x = 7,471.16

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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.