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Finding the Fourth Proportional to 4,249.38, 5,857.26 and 3,170.82

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Solution

The fourth proportional to 4,249.38, 5,857.26 and 3,170.82 is: 4,370.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.38 : 5,857.26 = 3,170.82 : x
  2. Step 2: Convert to fraction form
    4,249.38/5,857.26 = 3,170.82/x
  3. Step 3: Cross multiply
    4,249.38x = 5,857.26 × 3,170.82
  4. Step 4: Simplify right side
    4,249.38x = 18,572,317.15
  5. Step 5: Solve for x
    x = 18,572,317.15/4,249.38
  6. Step 6: Final answer
    x = 4,370.59

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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.