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Finding the Fourth Proportional to 5,200.38, 7,176.42 and 2,842.47

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Solution

The fourth proportional to 5,200.38, 7,176.42 and 2,842.47 is: 3,922.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.38 : 7,176.42 = 2,842.47 : x
  2. Step 2: Convert to fraction form
    5,200.38/7,176.42 = 2,842.47/x
  3. Step 3: Cross multiply
    5,200.38x = 7,176.42 × 2,842.47
  4. Step 4: Simplify right side
    5,200.38x = 20,398,758.56
  5. Step 5: Solve for x
    x = 20,398,758.56/5,200.38
  6. Step 6: Final answer
    x = 3,922.55

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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.