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Finding the Fourth Proportional to 6,086.25, 8,399.07 and 3,729.96

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Solution

The fourth proportional to 6,086.25, 8,399.07 and 3,729.96 is: 5,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.25 : 8,399.07 = 3,729.96 : x
  2. Step 2: Convert to fraction form
    6,086.25/8,399.07 = 3,729.96/x
  3. Step 3: Cross multiply
    6,086.25x = 8,399.07 × 3,729.96
  4. Step 4: Simplify right side
    6,086.25x = 31,328,195.14
  5. Step 5: Solve for x
    x = 31,328,195.14/6,086.25
  6. Step 6: Final answer
    x = 5,147.37

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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.