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Finding the Fourth Proportional to 5,983.26, 8,255.52 and 3,625.38

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Solution

The fourth proportional to 5,983.26, 8,255.52 and 3,625.38 is: 5,002.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.26 : 8,255.52 = 3,625.38 : x
  2. Step 2: Convert to fraction form
    5,983.26/8,255.52 = 3,625.38/x
  3. Step 3: Cross multiply
    5,983.26x = 8,255.52 × 3,625.38
  4. Step 4: Simplify right side
    5,983.26x = 29,929,397.10
  5. Step 5: Solve for x
    x = 29,929,397.10/5,983.26
  6. Step 6: Final answer
    x = 5,002.19

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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.