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Finding the Fourth Proportional to 3,969.29, 5,952.71 and 2,744.57

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Solution

The fourth proportional to 3,969.29, 5,952.71 and 2,744.57 is: 4,116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.29 : 5,952.71 = 2,744.57 : x
  2. Step 2: Convert to fraction form
    3,969.29/5,952.71 = 2,744.57/x
  3. Step 3: Cross multiply
    3,969.29x = 5,952.71 × 2,744.57
  4. Step 4: Simplify right side
    3,969.29x = 16,337,651.03
  5. Step 5: Solve for x
    x = 16,337,651.03/3,969.29
  6. Step 6: Final answer
    x = 4,116.01

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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.