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Finding the Fourth Proportional to 3,882.80, 5,826.90 and 2,788.09

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Solution

The fourth proportional to 3,882.80, 5,826.90 and 2,788.09 is: 4,184.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.80 : 5,826.90 = 2,788.09 : x
  2. Step 2: Convert to fraction form
    3,882.80/5,826.90 = 2,788.09/x
  3. Step 3: Cross multiply
    3,882.80x = 5,826.90 × 2,788.09
  4. Step 4: Simplify right side
    3,882.80x = 16,245,921.62
  5. Step 5: Solve for x
    x = 16,245,921.62/3,882.80
  6. Step 6: Final answer
    x = 4,184.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.