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Finding the Fourth Proportional to 3,977.72, 5,489.27 and 2,209.66

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Solution

The fourth proportional to 3,977.72, 5,489.27 and 2,209.66 is: 3,049.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.72 : 5,489.27 = 2,209.66 : x
  2. Step 2: Convert to fraction form
    3,977.72/5,489.27 = 2,209.66/x
  3. Step 3: Cross multiply
    3,977.72x = 5,489.27 × 2,209.66
  4. Step 4: Simplify right side
    3,977.72x = 12,129,420.35
  5. Step 5: Solve for x
    x = 12,129,420.35/3,977.72
  6. Step 6: Final answer
    x = 3,049.34

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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.