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Finding the Fourth Proportional to 3,976.30, 5,488.02 and 2,297.48

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Solution

The fourth proportional to 3,976.30, 5,488.02 and 2,297.48 is: 3,170.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.30 : 5,488.02 = 2,297.48 : x
  2. Step 2: Convert to fraction form
    3,976.30/5,488.02 = 2,297.48/x
  3. Step 3: Cross multiply
    3,976.30x = 5,488.02 × 2,297.48
  4. Step 4: Simplify right side
    3,976.30x = 12,608,616.19
  5. Step 5: Solve for x
    x = 12,608,616.19/3,976.30
  6. Step 6: Final answer
    x = 3,170.94

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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.