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Finding the Fourth Proportional to 5,747.38, 7,932.06 and 3,229.50

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Solution

The fourth proportional to 5,747.38, 7,932.06 and 3,229.50 is: 4,457.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.38 : 7,932.06 = 3,229.50 : x
  2. Step 2: Convert to fraction form
    5,747.38/7,932.06 = 3,229.50/x
  3. Step 3: Cross multiply
    5,747.38x = 7,932.06 × 3,229.50
  4. Step 4: Simplify right side
    5,747.38x = 25,616,587.77
  5. Step 5: Solve for x
    x = 25,616,587.77/5,747.38
  6. Step 6: Final answer
    x = 4,457.09

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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.