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Finding the Fourth Proportional to 3,729.25, 5,593.92 and 1,677.25

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Solution

The fourth proportional to 3,729.25, 5,593.92 and 1,677.25 is: 2,515.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.25 : 5,593.92 = 1,677.25 : x
  2. Step 2: Convert to fraction form
    3,729.25/5,593.92 = 1,677.25/x
  3. Step 3: Cross multiply
    3,729.25x = 5,593.92 × 1,677.25
  4. Step 4: Simplify right side
    3,729.25x = 9,382,402.32
  5. Step 5: Solve for x
    x = 9,382,402.32/3,729.25
  6. Step 6: Final answer
    x = 2,515.90

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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.