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Finding the Fourth Proportional to 3,869.80, 5,340.92 and 3,279.40

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Solution

The fourth proportional to 3,869.80, 5,340.92 and 3,279.40 is: 4,526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.80 : 5,340.92 = 3,279.40 : x
  2. Step 2: Convert to fraction form
    3,869.80/5,340.92 = 3,279.40/x
  3. Step 3: Cross multiply
    3,869.80x = 5,340.92 × 3,279.40
  4. Step 4: Simplify right side
    3,869.80x = 17,515,013.05
  5. Step 5: Solve for x
    x = 17,515,013.05/3,869.80
  6. Step 6: Final answer
    x = 4,526.08

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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.