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Finding the Fourth Proportional to 5,614.22, 7,747.95 and 3,096.87

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Solution

The fourth proportional to 5,614.22, 7,747.95 and 3,096.87 is: 4,273.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,614.22 : 7,747.95 = 3,096.87 : x
  2. Step 2: Convert to fraction form
    5,614.22/7,747.95 = 3,096.87/x
  3. Step 3: Cross multiply
    5,614.22x = 7,747.95 × 3,096.87
  4. Step 4: Simplify right side
    5,614.22x = 23,994,393.92
  5. Step 5: Solve for x
    x = 23,994,393.92/5,614.22
  6. Step 6: Final answer
    x = 4,273.86

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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.