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Finding the Fourth Proportional to 3,980.92, 5,451.20 and 3,824.07

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Solution

The fourth proportional to 3,980.92, 5,451.20 and 3,824.07 is: 5,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.92 : 5,451.20 = 3,824.07 : x
  2. Step 2: Convert to fraction form
    3,980.92/5,451.20 = 3,824.07/x
  3. Step 3: Cross multiply
    3,980.92x = 5,451.20 × 3,824.07
  4. Step 4: Simplify right side
    3,980.92x = 20,845,770.38
  5. Step 5: Solve for x
    x = 20,845,770.38/3,980.92
  6. Step 6: Final answer
    x = 5,236.42

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.