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Finding the Fourth Proportional to 6,593.88, 9,882.09 and 3,952.86

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Solution

The fourth proportional to 6,593.88, 9,882.09 and 3,952.86 is: 5,924.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.88 : 9,882.09 = 3,952.86 : x
  2. Step 2: Convert to fraction form
    6,593.88/9,882.09 = 3,952.86/x
  3. Step 3: Cross multiply
    6,593.88x = 9,882.09 × 3,952.86
  4. Step 4: Simplify right side
    6,593.88x = 39,062,518.28
  5. Step 5: Solve for x
    x = 39,062,518.28/6,593.88
  6. Step 6: Final answer
    x = 5,924.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.