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Finding the Fourth Proportional to 4,757.29, 7,136.71 and 1,469.61

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Solution

The fourth proportional to 4,757.29, 7,136.71 and 1,469.61 is: 2,204.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.29 : 7,136.71 = 1,469.61 : x
  2. Step 2: Convert to fraction form
    4,757.29/7,136.71 = 1,469.61/x
  3. Step 3: Cross multiply
    4,757.29x = 7,136.71 × 1,469.61
  4. Step 4: Simplify right side
    4,757.29x = 10,488,176.71
  5. Step 5: Solve for x
    x = 10,488,176.71/4,757.29
  6. Step 6: Final answer
    x = 2,204.65

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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.