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Finding the Fourth Proportional to 3,857.97, 5,324.04 and 2,179.41

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Solution

The fourth proportional to 3,857.97, 5,324.04 and 2,179.41 is: 3,007.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,857.97 : 5,324.04 = 2,179.41 : x
  2. Step 2: Convert to fraction form
    3,857.97/5,324.04 = 2,179.41/x
  3. Step 3: Cross multiply
    3,857.97x = 5,324.04 × 2,179.41
  4. Step 4: Simplify right side
    3,857.97x = 11,603,266.02
  5. Step 5: Solve for x
    x = 11,603,266.02/3,857.97
  6. Step 6: Final answer
    x = 3,007.61

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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.