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Finding the Fourth Proportional to 5,306.54, 7,332.42 and 3,819.38

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Solution

The fourth proportional to 5,306.54, 7,332.42 and 3,819.38 is: 5,277.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.54 : 7,332.42 = 3,819.38 : x
  2. Step 2: Convert to fraction form
    5,306.54/7,332.42 = 3,819.38/x
  3. Step 3: Cross multiply
    5,306.54x = 7,332.42 × 3,819.38
  4. Step 4: Simplify right side
    5,306.54x = 28,005,298.30
  5. Step 5: Solve for x
    x = 28,005,298.30/5,306.54
  6. Step 6: Final answer
    x = 5,277.51

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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.