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Finding the Fourth Proportional to 3,876.36, 5,349.17 and 2,107.97

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Solution

The fourth proportional to 3,876.36, 5,349.17 and 2,107.97 is: 2,908.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.36 : 5,349.17 = 2,107.97 : x
  2. Step 2: Convert to fraction form
    3,876.36/5,349.17 = 2,107.97/x
  3. Step 3: Cross multiply
    3,876.36x = 5,349.17 × 2,107.97
  4. Step 4: Simplify right side
    3,876.36x = 11,275,852.60
  5. Step 5: Solve for x
    x = 11,275,852.60/3,876.36
  6. Step 6: Final answer
    x = 2,908.88

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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.