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Finding the Fourth Proportional to 3,874.98, 5,346.39 and 2,382.33

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Solution

The fourth proportional to 3,874.98, 5,346.39 and 2,382.33 is: 3,286.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.98 : 5,346.39 = 2,382.33 : x
  2. Step 2: Convert to fraction form
    3,874.98/5,346.39 = 2,382.33/x
  3. Step 3: Cross multiply
    3,874.98x = 5,346.39 × 2,382.33
  4. Step 4: Simplify right side
    3,874.98x = 12,736,865.29
  5. Step 5: Solve for x
    x = 12,736,865.29/3,874.98
  6. Step 6: Final answer
    x = 3,286.95

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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.