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Finding the Fourth Proportional to 5,578.97, 8,359.13 and 3,932.03

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Solution

The fourth proportional to 5,578.97, 8,359.13 and 3,932.03 is: 5,891.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,578.97 : 8,359.13 = 3,932.03 : x
  2. Step 2: Convert to fraction form
    5,578.97/8,359.13 = 3,932.03/x
  3. Step 3: Cross multiply
    5,578.97x = 8,359.13 × 3,932.03
  4. Step 4: Simplify right side
    5,578.97x = 32,868,288.48
  5. Step 5: Solve for x
    x = 32,868,288.48/5,578.97
  6. Step 6: Final answer
    x = 5,891.47

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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.