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Finding the Fourth Proportional to 5,034.56, 7,542.32 and 3,472.61

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Solution

The fourth proportional to 5,034.56, 7,542.32 and 3,472.61 is: 5,202.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.56 : 7,542.32 = 3,472.61 : x
  2. Step 2: Convert to fraction form
    5,034.56/7,542.32 = 3,472.61/x
  3. Step 3: Cross multiply
    5,034.56x = 7,542.32 × 3,472.61
  4. Step 4: Simplify right side
    5,034.56x = 26,191,480.78
  5. Step 5: Solve for x
    x = 26,191,480.78/5,034.56
  6. Step 6: Final answer
    x = 5,202.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.