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Finding the Fourth Proportional to 6,149.32, 8,486.98 and 3,912.17

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Solution

The fourth proportional to 6,149.32, 8,486.98 and 3,912.17 is: 5,399.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.32 : 8,486.98 = 3,912.17 : x
  2. Step 2: Convert to fraction form
    6,149.32/8,486.98 = 3,912.17/x
  3. Step 3: Cross multiply
    6,149.32x = 8,486.98 × 3,912.17
  4. Step 4: Simplify right side
    6,149.32x = 33,202,456.33
  5. Step 5: Solve for x
    x = 33,202,456.33/6,149.32
  6. Step 6: Final answer
    x = 5,399.37

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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.