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Finding the Fourth Proportional to 3,976.82, 5,488.19 and 2,208.41

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Solution

The fourth proportional to 3,976.82, 5,488.19 and 2,208.41 is: 3,047.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.82 : 5,488.19 = 2,208.41 : x
  2. Step 2: Convert to fraction form
    3,976.82/5,488.19 = 2,208.41/x
  3. Step 3: Cross multiply
    3,976.82x = 5,488.19 × 2,208.41
  4. Step 4: Simplify right side
    3,976.82x = 12,120,173.68
  5. Step 5: Solve for x
    x = 12,120,173.68/3,976.82
  6. Step 6: Final answer
    x = 3,047.70

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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.