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Finding the Fourth Proportional to 5,614.78, 7,748.44 and 3,096.99

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Solution

The fourth proportional to 5,614.78, 7,748.44 and 3,096.99 is: 4,273.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.78 : 7,748.44 = 3,096.99 : x
  2. Step 2: Convert to fraction form
    5,614.78/7,748.44 = 3,096.99/x
  3. Step 3: Cross multiply
    5,614.78x = 7,748.44 × 3,096.99
  4. Step 4: Simplify right side
    5,614.78x = 23,996,841.20
  5. Step 5: Solve for x
    x = 23,996,841.20/5,614.78
  6. Step 6: Final answer
    x = 4,273.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.