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Finding the Fourth Proportional to 3,882.72, 5,358.18 and 2,289.44

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Solution

The fourth proportional to 3,882.72, 5,358.18 and 2,289.44 is: 3,159.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.72 : 5,358.18 = 2,289.44 : x
  2. Step 2: Convert to fraction form
    3,882.72/5,358.18 = 2,289.44/x
  3. Step 3: Cross multiply
    3,882.72x = 5,358.18 × 2,289.44
  4. Step 4: Simplify right side
    3,882.72x = 12,267,231.62
  5. Step 5: Solve for x
    x = 12,267,231.62/3,882.72
  6. Step 6: Final answer
    x = 3,159.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.