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Finding the Fourth Proportional to 3,687.74, 5,531.61 and 1,223.27

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Solution

The fourth proportional to 3,687.74, 5,531.61 and 1,223.27 is: 1,834.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.74 : 5,531.61 = 1,223.27 : x
  2. Step 2: Convert to fraction form
    3,687.74/5,531.61 = 1,223.27/x
  3. Step 3: Cross multiply
    3,687.74x = 5,531.61 × 1,223.27
  4. Step 4: Simplify right side
    3,687.74x = 6,766,650.24
  5. Step 5: Solve for x
    x = 6,766,650.24/3,687.74
  6. Step 6: Final answer
    x = 1,834.90

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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.