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Finding the Fourth Proportional to 3,976.92, 5,488.34 and 2,208.53

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Solution

The fourth proportional to 3,976.92, 5,488.34 and 2,208.53 is: 3,047.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.92 : 5,488.34 = 2,208.53 : x
  2. Step 2: Convert to fraction form
    3,976.92/5,488.34 = 2,208.53/x
  3. Step 3: Cross multiply
    3,976.92x = 5,488.34 × 2,208.53
  4. Step 4: Simplify right side
    3,976.92x = 12,121,164.80
  5. Step 5: Solve for x
    x = 12,121,164.80/3,976.92
  6. Step 6: Final answer
    x = 3,047.88

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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.