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Finding the Fourth Proportional to 3,882.72, 5,357.28 and 2,311.20

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Solution

The fourth proportional to 3,882.72, 5,357.28 and 2,311.20 is: 3,188.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.72 : 5,357.28 = 2,311.20 : x
  2. Step 2: Convert to fraction form
    3,882.72/5,357.28 = 2,311.20/x
  3. Step 3: Cross multiply
    3,882.72x = 5,357.28 × 2,311.20
  4. Step 4: Simplify right side
    3,882.72x = 12,381,745.54
  5. Step 5: Solve for x
    x = 12,381,745.54/3,882.72
  6. Step 6: Final answer
    x = 3,188.94

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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.