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Finding the Fourth Proportional to 5,410.52, 7,472.58 and 4,229.90

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Solution

The fourth proportional to 5,410.52, 7,472.58 and 4,229.90 is: 5,842.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.52 : 7,472.58 = 4,229.90 : x
  2. Step 2: Convert to fraction form
    5,410.52/7,472.58 = 4,229.90/x
  3. Step 3: Cross multiply
    5,410.52x = 7,472.58 × 4,229.90
  4. Step 4: Simplify right side
    5,410.52x = 31,608,266.14
  5. Step 5: Solve for x
    x = 31,608,266.14/5,410.52
  6. Step 6: Final answer
    x = 5,842.00

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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.