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Finding the Fourth Proportional to 3,969.42, 5,952.91 and 2,744.70

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Solution

The fourth proportional to 3,969.42, 5,952.91 and 2,744.70 is: 4,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.42 : 5,952.91 = 2,744.70 : x
  2. Step 2: Convert to fraction form
    3,969.42/5,952.91 = 2,744.70/x
  3. Step 3: Cross multiply
    3,969.42x = 5,952.91 × 2,744.70
  4. Step 4: Simplify right side
    3,969.42x = 16,338,918.06
  5. Step 5: Solve for x
    x = 16,338,918.06/3,969.42
  6. Step 6: Final answer
    x = 4,116.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.