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Finding the Fourth Proportional to 3,757.91, 5,638.62 and 1,677.70

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Solution

The fourth proportional to 3,757.91, 5,638.62 and 1,677.70 is: 2,517.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757.91 : 5,638.62 = 1,677.70 : x
  2. Step 2: Convert to fraction form
    3,757.91/5,638.62 = 1,677.70/x
  3. Step 3: Cross multiply
    3,757.91x = 5,638.62 × 1,677.70
  4. Step 4: Simplify right side
    3,757.91x = 9,459,912.77
  5. Step 5: Solve for x
    x = 9,459,912.77/3,757.91
  6. Step 6: Final answer
    x = 2,517.33

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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.