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Finding the Fourth Proportional to 3,949.31, 5,450.02 and 2,180.90

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Solution

The fourth proportional to 3,949.31, 5,450.02 and 2,180.90 is: 3,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,949.31 : 5,450.02 = 2,180.90 : x
  2. Step 2: Convert to fraction form
    3,949.31/5,450.02 = 2,180.90/x
  3. Step 3: Cross multiply
    3,949.31x = 5,450.02 × 2,180.90
  4. Step 4: Simplify right side
    3,949.31x = 11,885,948.62
  5. Step 5: Solve for x
    x = 11,885,948.62/3,949.31
  6. Step 6: Final answer
    x = 3,009.63

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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.