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Finding the Fourth Proportional to 3,380.81, 5,074.09 and 1,992.11

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Solution

The fourth proportional to 3,380.81, 5,074.09 and 1,992.11 is: 2,989.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.81 : 5,074.09 = 1,992.11 : x
  2. Step 2: Convert to fraction form
    3,380.81/5,074.09 = 1,992.11/x
  3. Step 3: Cross multiply
    3,380.81x = 5,074.09 × 1,992.11
  4. Step 4: Simplify right side
    3,380.81x = 10,108,115.08
  5. Step 5: Solve for x
    x = 10,108,115.08/3,380.81
  6. Step 6: Final answer
    x = 2,989.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.