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Finding the Fourth Proportional to 3,977.82, 5,489.20 and 2,209.54

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Solution

The fourth proportional to 3,977.82, 5,489.20 and 2,209.54 is: 3,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.82 : 5,489.20 = 2,209.54 : x
  2. Step 2: Convert to fraction form
    3,977.82/5,489.20 = 2,209.54/x
  3. Step 3: Cross multiply
    3,977.82x = 5,489.20 × 2,209.54
  4. Step 4: Simplify right side
    3,977.82x = 12,128,590.86
  5. Step 5: Solve for x
    x = 12,128,590.86/3,977.82
  6. Step 6: Final answer
    x = 3,049.06

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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.