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Finding the Fourth Proportional to 3,753.98, 5,630.92 and 1,255.33

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Solution

The fourth proportional to 3,753.98, 5,630.92 and 1,255.33 is: 1,882.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.98 : 5,630.92 = 1,255.33 : x
  2. Step 2: Convert to fraction form
    3,753.98/5,630.92 = 1,255.33/x
  3. Step 3: Cross multiply
    3,753.98x = 5,630.92 × 1,255.33
  4. Step 4: Simplify right side
    3,753.98x = 7,068,666.70
  5. Step 5: Solve for x
    x = 7,068,666.70/3,753.98
  6. Step 6: Final answer
    x = 1,882.98

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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.