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Finding the Fourth Proportional to 3,337.43, 5,005.71 and 872.24

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Solution

The fourth proportional to 3,337.43, 5,005.71 and 872.24 is: 1,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.43 : 5,005.71 = 872.24 : x
  2. Step 2: Convert to fraction form
    3,337.43/5,005.71 = 872.24/x
  3. Step 3: Cross multiply
    3,337.43x = 5,005.71 × 872.24
  4. Step 4: Simplify right side
    3,337.43x = 4,366,155.46
  5. Step 5: Solve for x
    x = 4,366,155.46/3,337.43
  6. Step 6: Final answer
    x = 1,308.24

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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.