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Finding the Fourth Proportional to 3,781.56, 5,672.88 and 1,442.44

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Solution

The fourth proportional to 3,781.56, 5,672.88 and 1,442.44 is: 2,163.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.56 : 5,672.88 = 1,442.44 : x
  2. Step 2: Convert to fraction form
    3,781.56/5,672.88 = 1,442.44/x
  3. Step 3: Cross multiply
    3,781.56x = 5,672.88 × 1,442.44
  4. Step 4: Simplify right side
    3,781.56x = 8,182,789.03
  5. Step 5: Solve for x
    x = 8,182,789.03/3,781.56
  6. Step 6: Final answer
    x = 2,163.87

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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.