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Finding the Fourth Proportional to 3,729.90, 5,586.72 and 2,425.80

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Solution

The fourth proportional to 3,729.90, 5,586.72 and 2,425.80 is: 3,633.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.90 : 5,586.72 = 2,425.80 : x
  2. Step 2: Convert to fraction form
    3,729.90/5,586.72 = 2,425.80/x
  3. Step 3: Cross multiply
    3,729.90x = 5,586.72 × 2,425.80
  4. Step 4: Simplify right side
    3,729.90x = 13,552,265.38
  5. Step 5: Solve for x
    x = 13,552,265.38/3,729.90
  6. Step 6: Final answer
    x = 3,633.41

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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.