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Finding the Fourth Proportional to 5,493.25, 8,241.10 and 3,026.80

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Solution

The fourth proportional to 5,493.25, 8,241.10 and 3,026.80 is: 4,540.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.25 : 8,241.10 = 3,026.80 : x
  2. Step 2: Convert to fraction form
    5,493.25/8,241.10 = 3,026.80/x
  3. Step 3: Cross multiply
    5,493.25x = 8,241.10 × 3,026.80
  4. Step 4: Simplify right side
    5,493.25x = 24,944,161.48
  5. Step 5: Solve for x
    x = 24,944,161.48/5,493.25
  6. Step 6: Final answer
    x = 4,540.87

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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.