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Finding the Fourth Proportional to 3,489.52, 4,813.92 and 2,229.96

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Solution

The fourth proportional to 3,489.52, 4,813.92 and 2,229.96 is: 3,076.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.52 : 4,813.92 = 2,229.96 : x
  2. Step 2: Convert to fraction form
    3,489.52/4,813.92 = 2,229.96/x
  3. Step 3: Cross multiply
    3,489.52x = 4,813.92 × 2,229.96
  4. Step 4: Simplify right side
    3,489.52x = 10,734,849.04
  5. Step 5: Solve for x
    x = 10,734,849.04/3,489.52
  6. Step 6: Final answer
    x = 3,076.31

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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.