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Finding the Fourth Proportional to 3,745.98, 5,169.42 and 2,067.45

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Solution

The fourth proportional to 3,745.98, 5,169.42 and 2,067.45 is: 2,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.98 : 5,169.42 = 2,067.45 : x
  2. Step 2: Convert to fraction form
    3,745.98/5,169.42 = 2,067.45/x
  3. Step 3: Cross multiply
    3,745.98x = 5,169.42 × 2,067.45
  4. Step 4: Simplify right side
    3,745.98x = 10,687,517.38
  5. Step 5: Solve for x
    x = 10,687,517.38/3,745.98
  6. Step 6: Final answer
    x = 2,853.06

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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.