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Finding the Fourth Proportional to 3,880.67, 5,350.68 and 3,169.89

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Solution

The fourth proportional to 3,880.67, 5,350.68 and 3,169.89 is: 4,370.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,880.67 : 5,350.68 = 3,169.89 : x
  2. Step 2: Convert to fraction form
    3,880.67/5,350.68 = 3,169.89/x
  3. Step 3: Cross multiply
    3,880.67x = 5,350.68 × 3,169.89
  4. Step 4: Simplify right side
    3,880.67x = 16,961,067.03
  5. Step 5: Solve for x
    x = 16,961,067.03/3,880.67
  6. Step 6: Final answer
    x = 4,370.66

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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.