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Finding the Fourth Proportional to 5,998.26, 8,279.12 and 3,578.23

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Solution

The fourth proportional to 5,998.26, 8,279.12 and 3,578.23 is: 4,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.26 : 8,279.12 = 3,578.23 : x
  2. Step 2: Convert to fraction form
    5,998.26/8,279.12 = 3,578.23/x
  3. Step 3: Cross multiply
    5,998.26x = 8,279.12 × 3,578.23
  4. Step 4: Simplify right side
    5,998.26x = 29,624,614.85
  5. Step 5: Solve for x
    x = 29,624,614.85/5,998.26
  6. Step 6: Final answer
    x = 4,938.87

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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.