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Finding the Fourth Proportional to 5,502.30, 8,249.13 and 3,765.66

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Solution

The fourth proportional to 5,502.30, 8,249.13 and 3,765.66 is: 5,645.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,502.30 : 8,249.13 = 3,765.66 : x
  2. Step 2: Convert to fraction form
    5,502.30/8,249.13 = 3,765.66/x
  3. Step 3: Cross multiply
    5,502.30x = 8,249.13 × 3,765.66
  4. Step 4: Simplify right side
    5,502.30x = 31,063,418.88
  5. Step 5: Solve for x
    x = 31,063,418.88/5,502.30
  6. Step 6: Final answer
    x = 5,645.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.