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Finding the Fourth Proportional to 5,414.91, 7,472.57 and 3,057.20

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Solution

The fourth proportional to 5,414.91, 7,472.57 and 3,057.20 is: 4,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,414.91 : 7,472.57 = 3,057.20 : x
  2. Step 2: Convert to fraction form
    5,414.91/7,472.57 = 3,057.20/x
  3. Step 3: Cross multiply
    5,414.91x = 7,472.57 × 3,057.20
  4. Step 4: Simplify right side
    5,414.91x = 22,845,133.57
  5. Step 5: Solve for x
    x = 22,845,133.57/5,414.91
  6. Step 6: Final answer
    x = 4,218.93

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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.