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Finding the Fourth Proportional to 3,800.38, 5,694.30 and 2,336.44

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Solution

The fourth proportional to 3,800.38, 5,694.30 and 2,336.44 is: 3,500.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.38 : 5,694.30 = 2,336.44 : x
  2. Step 2: Convert to fraction form
    3,800.38/5,694.30 = 2,336.44/x
  3. Step 3: Cross multiply
    3,800.38x = 5,694.30 × 2,336.44
  4. Step 4: Simplify right side
    3,800.38x = 13,304,390.29
  5. Step 5: Solve for x
    x = 13,304,390.29/3,800.38
  6. Step 6: Final answer
    x = 3,500.81

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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.