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Finding the Fourth Proportional to 3,977.68, 5,489.58 and 2,209.28

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Solution

The fourth proportional to 3,977.68, 5,489.58 and 2,209.28 is: 3,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.68 : 5,489.58 = 2,209.28 : x
  2. Step 2: Convert to fraction form
    3,977.68/5,489.58 = 2,209.28/x
  3. Step 3: Cross multiply
    3,977.68x = 5,489.58 × 2,209.28
  4. Step 4: Simplify right side
    3,977.68x = 12,128,019.30
  5. Step 5: Solve for x
    x = 12,128,019.30/3,977.68
  6. Step 6: Final answer
    x = 3,049.02

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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.