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Finding the Fourth Proportional to 3,745.86, 5,169.28 and 2,067.27

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Solution

The fourth proportional to 3,745.86, 5,169.28 and 2,067.27 is: 2,852.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.86 : 5,169.28 = 2,067.27 : x
  2. Step 2: Convert to fraction form
    3,745.86/5,169.28 = 2,067.27/x
  3. Step 3: Cross multiply
    3,745.86x = 5,169.28 × 2,067.27
  4. Step 4: Simplify right side
    3,745.86x = 10,686,266.45
  5. Step 5: Solve for x
    x = 10,686,266.45/3,745.86
  6. Step 6: Final answer
    x = 2,852.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.