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Finding the Fourth Proportional to 3,937.97, 5,429.35 and 3,227.19

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Solution

The fourth proportional to 3,937.97, 5,429.35 and 3,227.19 is: 4,449.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,937.97 : 5,429.35 = 3,227.19 : x
  2. Step 2: Convert to fraction form
    3,937.97/5,429.35 = 3,227.19/x
  3. Step 3: Cross multiply
    3,937.97x = 5,429.35 × 3,227.19
  4. Step 4: Simplify right side
    3,937.97x = 17,521,535.96
  5. Step 5: Solve for x
    x = 17,521,535.96/3,937.97
  6. Step 6: Final answer
    x = 4,449.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.