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Finding the Fourth Proportional to 3,882.75, 5,358.25 and 2,204.20

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Solution

The fourth proportional to 3,882.75, 5,358.25 and 2,204.20 is: 3,041.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.75 : 5,358.25 = 2,204.20 : x
  2. Step 2: Convert to fraction form
    3,882.75/5,358.25 = 2,204.20/x
  3. Step 3: Cross multiply
    3,882.75x = 5,358.25 × 2,204.20
  4. Step 4: Simplify right side
    3,882.75x = 11,810,668.24
  5. Step 5: Solve for x
    x = 11,810,668.24/3,882.75
  6. Step 6: Final answer
    x = 3,041.83

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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.