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Finding the Fourth Proportional to 6,149.90, 9,229.62 and 2,452.46

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Solution

The fourth proportional to 6,149.90, 9,229.62 and 2,452.46 is: 3,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.90 : 9,229.62 = 2,452.46 : x
  2. Step 2: Convert to fraction form
    6,149.90/9,229.62 = 2,452.46/x
  3. Step 3: Cross multiply
    6,149.90x = 9,229.62 × 2,452.46
  4. Step 4: Simplify right side
    6,149.90x = 22,635,273.87
  5. Step 5: Solve for x
    x = 22,635,273.87/6,149.90
  6. Step 6: Final answer
    x = 3,680.59

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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.