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Finding the Fourth Proportional to 3,976.80, 5,488.71 and 2,297.98

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Solution

The fourth proportional to 3,976.80, 5,488.71 and 2,297.98 is: 3,171.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.80 : 5,488.71 = 2,297.98 : x
  2. Step 2: Convert to fraction form
    3,976.80/5,488.71 = 2,297.98/x
  3. Step 3: Cross multiply
    3,976.80x = 5,488.71 × 2,297.98
  4. Step 4: Simplify right side
    3,976.80x = 12,612,945.81
  5. Step 5: Solve for x
    x = 12,612,945.81/3,976.80
  6. Step 6: Final answer
    x = 3,171.63

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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.