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Finding the Fourth Proportional to 3,876.39, 5,349.65 and 2,197.80

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Solution

The fourth proportional to 3,876.39, 5,349.65 and 2,197.80 is: 3,033.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.39 : 5,349.65 = 2,197.80 : x
  2. Step 2: Convert to fraction form
    3,876.39/5,349.65 = 2,197.80/x
  3. Step 3: Cross multiply
    3,876.39x = 5,349.65 × 2,197.80
  4. Step 4: Simplify right side
    3,876.39x = 11,757,449.78
  5. Step 5: Solve for x
    x = 11,757,449.78/3,876.39
  6. Step 6: Final answer
    x = 3,033.09

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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.