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Finding the Fourth Proportional to 3,879.70, 5,354.09 and 2,111.42

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Solution

The fourth proportional to 3,879.70, 5,354.09 and 2,111.42 is: 2,913.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,879.70 : 5,354.09 = 2,111.42 : x
  2. Step 2: Convert to fraction form
    3,879.70/5,354.09 = 2,111.42/x
  3. Step 3: Cross multiply
    3,879.70x = 5,354.09 × 2,111.42
  4. Step 4: Simplify right side
    3,879.70x = 11,304,732.71
  5. Step 5: Solve for x
    x = 11,304,732.71/3,879.70
  6. Step 6: Final answer
    x = 2,913.82

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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.