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Finding the Fourth Proportional to 3,876.54, 5,338.83 and 3,165.09

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Solution

The fourth proportional to 3,876.54, 5,338.83 and 3,165.09 is: 4,359.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.54 : 5,338.83 = 3,165.09 : x
  2. Step 2: Convert to fraction form
    3,876.54/5,338.83 = 3,165.09/x
  3. Step 3: Cross multiply
    3,876.54x = 5,338.83 × 3,165.09
  4. Step 4: Simplify right side
    3,876.54x = 16,897,877.44
  5. Step 5: Solve for x
    x = 16,897,877.44/3,876.54
  6. Step 6: Final answer
    x = 4,359.01

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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.