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Finding the Fourth Proportional to 5,408.67, 8,124.52 and 5,092.66

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Solution

The fourth proportional to 5,408.67, 8,124.52 and 5,092.66 is: 7,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,408.67 : 8,124.52 = 5,092.66 : x
  2. Step 2: Convert to fraction form
    5,408.67/8,124.52 = 5,092.66/x
  3. Step 3: Cross multiply
    5,408.67x = 8,124.52 × 5,092.66
  4. Step 4: Simplify right side
    5,408.67x = 41,375,418.02
  5. Step 5: Solve for x
    x = 41,375,418.02/5,408.67
  6. Step 6: Final answer
    x = 7,649.83

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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.