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Finding the Fourth Proportional to 3,882.91, 5,358.14 and 2,204.35

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Solution

The fourth proportional to 3,882.91, 5,358.14 and 2,204.35 is: 3,041.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.91 : 5,358.14 = 2,204.35 : x
  2. Step 2: Convert to fraction form
    3,882.91/5,358.14 = 2,204.35/x
  3. Step 3: Cross multiply
    3,882.91x = 5,358.14 × 2,204.35
  4. Step 4: Simplify right side
    3,882.91x = 11,811,178.10
  5. Step 5: Solve for x
    x = 11,811,178.10/3,882.91
  6. Step 6: Final answer
    x = 3,041.84

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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.