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Finding the Fourth Proportional to 3,874.26, 5,340.42 and 3,169.02

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Solution

The fourth proportional to 3,874.26, 5,340.42 and 3,169.02 is: 4,368.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.26 : 5,340.42 = 3,169.02 : x
  2. Step 2: Convert to fraction form
    3,874.26/5,340.42 = 3,169.02/x
  3. Step 3: Cross multiply
    3,874.26x = 5,340.42 × 3,169.02
  4. Step 4: Simplify right side
    3,874.26x = 16,923,897.79
  5. Step 5: Solve for x
    x = 16,923,897.79/3,874.26
  6. Step 6: Final answer
    x = 4,368.29

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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.