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Finding the Fourth Proportional to 3,468.64, 5,202.56 and 871.38

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Solution

The fourth proportional to 3,468.64, 5,202.56 and 871.38 is: 1,306.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.64 : 5,202.56 = 871.38 : x
  2. Step 2: Convert to fraction form
    3,468.64/5,202.56 = 871.38/x
  3. Step 3: Cross multiply
    3,468.64x = 5,202.56 × 871.38
  4. Step 4: Simplify right side
    3,468.64x = 4,533,406.73
  5. Step 5: Solve for x
    x = 4,533,406.73/3,468.64
  6. Step 6: Final answer
    x = 1,306.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.