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Finding the Fourth Proportional to 3,746.33, 5,169.95 and 2,067.75

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Solution

The fourth proportional to 3,746.33, 5,169.95 and 2,067.75 is: 2,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.33 : 5,169.95 = 2,067.75 : x
  2. Step 2: Convert to fraction form
    3,746.33/5,169.95 = 2,067.75/x
  3. Step 3: Cross multiply
    3,746.33x = 5,169.95 × 2,067.75
  4. Step 4: Simplify right side
    3,746.33x = 10,690,161.53
  5. Step 5: Solve for x
    x = 10,690,161.53/3,746.33
  6. Step 6: Final answer
    x = 2,853.50

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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.