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Finding the Fourth Proportional to 4,757.58, 7,136.52 and 1,425.78

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Solution

The fourth proportional to 4,757.58, 7,136.52 and 1,425.78 is: 2,138.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.58 : 7,136.52 = 1,425.78 : x
  2. Step 2: Convert to fraction form
    4,757.58/7,136.52 = 1,425.78/x
  3. Step 3: Cross multiply
    4,757.58x = 7,136.52 × 1,425.78
  4. Step 4: Simplify right side
    4,757.58x = 10,175,107.49
  5. Step 5: Solve for x
    x = 10,175,107.49/4,757.58
  6. Step 6: Final answer
    x = 2,138.71

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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.