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Finding the Fourth Proportional to 5,614.34, 7,747.40 and 3,096.30

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Solution

The fourth proportional to 5,614.34, 7,747.40 and 3,096.30 is: 4,272.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.34 : 7,747.40 = 3,096.30 : x
  2. Step 2: Convert to fraction form
    5,614.34/7,747.40 = 3,096.30/x
  3. Step 3: Cross multiply
    5,614.34x = 7,747.40 × 3,096.30
  4. Step 4: Simplify right side
    5,614.34x = 23,988,274.62
  5. Step 5: Solve for x
    x = 23,988,274.62/5,614.34
  6. Step 6: Final answer
    x = 4,272.68

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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.