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Finding the Fourth Proportional to 3,874.48, 5,348.10 and 2,382.46

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Solution

The fourth proportional to 3,874.48, 5,348.10 and 2,382.46 is: 3,288.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.48 : 5,348.10 = 2,382.46 : x
  2. Step 2: Convert to fraction form
    3,874.48/5,348.10 = 2,382.46/x
  3. Step 3: Cross multiply
    3,874.48x = 5,348.10 × 2,382.46
  4. Step 4: Simplify right side
    3,874.48x = 12,741,634.33
  5. Step 5: Solve for x
    x = 12,741,634.33/3,874.48
  6. Step 6: Final answer
    x = 3,288.61

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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.