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Finding the Fourth Proportional to 3,977.88, 5,489.20 and 2,209.48

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Solution

The fourth proportional to 3,977.88, 5,489.20 and 2,209.48 is: 3,048.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.88 : 5,489.20 = 2,209.48 : x
  2. Step 2: Convert to fraction form
    3,977.88/5,489.20 = 2,209.48/x
  3. Step 3: Cross multiply
    3,977.88x = 5,489.20 × 2,209.48
  4. Step 4: Simplify right side
    3,977.88x = 12,128,277.62
  5. Step 5: Solve for x
    x = 12,128,277.62/3,977.88
  6. Step 6: Final answer
    x = 3,048.93

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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.