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Finding the Fourth Proportional to 3,948.70, 5,449.20 and 2,180.62

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Solution

The fourth proportional to 3,948.70, 5,449.20 and 2,180.62 is: 3,009.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948.70 : 5,449.20 = 2,180.62 : x
  2. Step 2: Convert to fraction form
    3,948.70/5,449.20 = 2,180.62/x
  3. Step 3: Cross multiply
    3,948.70x = 5,449.20 × 2,180.62
  4. Step 4: Simplify right side
    3,948.70x = 11,882,634.50
  5. Step 5: Solve for x
    x = 11,882,634.50/3,948.70
  6. Step 6: Final answer
    x = 3,009.25

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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.