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Finding the Fourth Proportional to 4,757.31, 7,136.88 and 1,470.29

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Solution

The fourth proportional to 4,757.31, 7,136.88 and 1,470.29 is: 2,205.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.31 : 7,136.88 = 1,470.29 : x
  2. Step 2: Convert to fraction form
    4,757.31/7,136.88 = 1,470.29/x
  3. Step 3: Cross multiply
    4,757.31x = 7,136.88 × 1,470.29
  4. Step 4: Simplify right side
    4,757.31x = 10,493,247.61
  5. Step 5: Solve for x
    x = 10,493,247.61/4,757.31
  6. Step 6: Final answer
    x = 2,205.71

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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.