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Finding the Fourth Proportional to 3,761.38, 5,642.25 and 1,421.20

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Solution

The fourth proportional to 3,761.38, 5,642.25 and 1,421.20 is: 2,131.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.38 : 5,642.25 = 1,421.20 : x
  2. Step 2: Convert to fraction form
    3,761.38/5,642.25 = 1,421.20/x
  3. Step 3: Cross multiply
    3,761.38x = 5,642.25 × 1,421.20
  4. Step 4: Simplify right side
    3,761.38x = 8,018,765.70
  5. Step 5: Solve for x
    x = 8,018,765.70/3,761.38
  6. Step 6: Final answer
    x = 2,131.87

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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.