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Finding the Fourth Proportional to 3,977.66, 5,489.19 and 2,209.43

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Solution

The fourth proportional to 3,977.66, 5,489.19 and 2,209.43 is: 3,049.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.66 : 5,489.19 = 2,209.43 : x
  2. Step 2: Convert to fraction form
    3,977.66/5,489.19 = 2,209.43/x
  3. Step 3: Cross multiply
    3,977.66x = 5,489.19 × 2,209.43
  4. Step 4: Simplify right side
    3,977.66x = 12,127,981.06
  5. Step 5: Solve for x
    x = 12,127,981.06/3,977.66
  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.