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Finding the Fourth Proportional to 3,876.14, 5,349.04 and 2,107.71

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Solution

The fourth proportional to 3,876.14, 5,349.04 and 2,107.71 is: 2,908.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.14 : 5,349.04 = 2,107.71 : x
  2. Step 2: Convert to fraction form
    3,876.14/5,349.04 = 2,107.71/x
  3. Step 3: Cross multiply
    3,876.14x = 5,349.04 × 2,107.71
  4. Step 4: Simplify right side
    3,876.14x = 11,274,219.83
  5. Step 5: Solve for x
    x = 11,274,219.83/3,876.14
  6. Step 6: Final answer
    x = 2,908.62

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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.