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Finding the Fourth Proportional to 5,614.29, 7,747.37 and 3,096.43

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Solution

The fourth proportional to 5,614.29, 7,747.37 and 3,096.43 is: 4,272.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.29 : 7,747.37 = 3,096.43 : x
  2. Step 2: Convert to fraction form
    5,614.29/7,747.37 = 3,096.43/x
  3. Step 3: Cross multiply
    5,614.29x = 7,747.37 × 3,096.43
  4. Step 4: Simplify right side
    5,614.29x = 23,989,188.89
  5. Step 5: Solve for x
    x = 23,989,188.89/5,614.29
  6. Step 6: Final answer
    x = 4,272.88

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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.