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Finding the Fourth Proportional to 3,882.76, 5,794.30 and 3,467.56

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Solution

The fourth proportional to 3,882.76, 5,794.30 and 3,467.56 is: 5,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.76 : 5,794.30 = 3,467.56 : x
  2. Step 2: Convert to fraction form
    3,882.76/5,794.30 = 3,467.56/x
  3. Step 3: Cross multiply
    3,882.76x = 5,794.30 × 3,467.56
  4. Step 4: Simplify right side
    3,882.76x = 20,092,082.91
  5. Step 5: Solve for x
    x = 20,092,082.91/3,882.76
  6. Step 6: Final answer
    x = 5,174.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.