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Finding the Fourth Proportional to 3,839.80, 5,755.56 and 1,861.24

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Solution

The fourth proportional to 3,839.80, 5,755.56 and 1,861.24 is: 2,789.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839.80 : 5,755.56 = 1,861.24 : x
  2. Step 2: Convert to fraction form
    3,839.80/5,755.56 = 1,861.24/x
  3. Step 3: Cross multiply
    3,839.80x = 5,755.56 × 1,861.24
  4. Step 4: Simplify right side
    3,839.80x = 10,712,478.49
  5. Step 5: Solve for x
    x = 10,712,478.49/3,839.80
  6. Step 6: Final answer
    x = 2,789.85

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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.