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Finding the Fourth Proportional to 5,524.82, 7,616.78 and 3,753.36

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Solution

The fourth proportional to 5,524.82, 7,616.78 and 3,753.36 is: 5,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,524.82 : 7,616.78 = 3,753.36 : x
  2. Step 2: Convert to fraction form
    5,524.82/7,616.78 = 3,753.36/x
  3. Step 3: Cross multiply
    5,524.82x = 7,616.78 × 3,753.36
  4. Step 4: Simplify right side
    5,524.82x = 28,588,517.38
  5. Step 5: Solve for x
    x = 28,588,517.38/5,524.82
  6. Step 6: Final answer
    x = 5,174.56

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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.