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Finding the Fourth Proportional to 5,934.82, 8,191.11 and 3,578.26

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Solution

The fourth proportional to 5,934.82, 8,191.11 and 3,578.26 is: 4,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,934.82 : 8,191.11 = 3,578.26 : x
  2. Step 2: Convert to fraction form
    5,934.82/8,191.11 = 3,578.26/x
  3. Step 3: Cross multiply
    5,934.82x = 8,191.11 × 3,578.26
  4. Step 4: Simplify right side
    5,934.82x = 29,309,921.27
  5. Step 5: Solve for x
    x = 29,309,921.27/5,934.82
  6. Step 6: Final answer
    x = 4,938.64

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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.