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Finding the Fourth Proportional to 3,167.57, 4,753.33 and 1,524.28

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Solution

The fourth proportional to 3,167.57, 4,753.33 and 1,524.28 is: 2,287.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,167.57 : 4,753.33 = 1,524.28 : x
  2. Step 2: Convert to fraction form
    3,167.57/4,753.33 = 1,524.28/x
  3. Step 3: Cross multiply
    3,167.57x = 4,753.33 × 1,524.28
  4. Step 4: Simplify right side
    3,167.57x = 7,245,398.23
  5. Step 5: Solve for x
    x = 7,245,398.23/3,167.57
  6. Step 6: Final answer
    x = 2,287.37

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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.