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Finding the Fourth Proportional to 5,912.28, 8,869.28 and 3,138.24

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Solution

The fourth proportional to 5,912.28, 8,869.28 and 3,138.24 is: 4,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.28 : 8,869.28 = 3,138.24 : x
  2. Step 2: Convert to fraction form
    5,912.28/8,869.28 = 3,138.24/x
  3. Step 3: Cross multiply
    5,912.28x = 8,869.28 × 3,138.24
  4. Step 4: Simplify right side
    5,912.28x = 27,833,929.27
  5. Step 5: Solve for x
    x = 27,833,929.27/5,912.28
  6. Step 6: Final answer
    x = 4,707.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.