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Finding the Fourth Proportional to 3,791.80, 5,682.23 and 2,228.10

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Solution

The fourth proportional to 3,791.80, 5,682.23 and 2,228.10 is: 3,338.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,791.80 : 5,682.23 = 2,228.10 : x
  2. Step 2: Convert to fraction form
    3,791.80/5,682.23 = 2,228.10/x
  3. Step 3: Cross multiply
    3,791.80x = 5,682.23 × 2,228.10
  4. Step 4: Simplify right side
    3,791.80x = 12,660,576.66
  5. Step 5: Solve for x
    x = 12,660,576.66/3,791.80
  6. Step 6: Final answer
    x = 3,338.94

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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.