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Finding the Fourth Proportional to 5,859.87, 8,086.62 and 3,207.28

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Solution

The fourth proportional to 5,859.87, 8,086.62 and 3,207.28 is: 4,426.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,859.87 : 8,086.62 = 3,207.28 : x
  2. Step 2: Convert to fraction form
    5,859.87/8,086.62 = 3,207.28/x
  3. Step 3: Cross multiply
    5,859.87x = 8,086.62 × 3,207.28
  4. Step 4: Simplify right side
    5,859.87x = 25,936,034.38
  5. Step 5: Solve for x
    x = 25,936,034.38/5,859.87
  6. Step 6: Final answer
    x = 4,426.04

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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.