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Finding the Fourth Proportional to 3,977.69, 5,489.21 and 2,209.46

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Solution

The fourth proportional to 3,977.69, 5,489.21 and 2,209.46 is: 3,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.69 : 5,489.21 = 2,209.46 : x
  2. Step 2: Convert to fraction form
    3,977.69/5,489.21 = 2,209.46/x
  3. Step 3: Cross multiply
    3,977.69x = 5,489.21 × 2,209.46
  4. Step 4: Simplify right side
    3,977.69x = 12,128,176.20
  5. Step 5: Solve for x
    x = 12,128,176.20/3,977.69
  6. Step 6: Final answer
    x = 3,049.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.