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Finding the Fourth Proportional to 3,976.49, 5,487.14 and 2,297.77

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Solution

The fourth proportional to 3,976.49, 5,487.14 and 2,297.77 is: 3,170.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.49 : 5,487.14 = 2,297.77 : x
  2. Step 2: Convert to fraction form
    3,976.49/5,487.14 = 2,297.77/x
  3. Step 3: Cross multiply
    3,976.49x = 5,487.14 × 2,297.77
  4. Step 4: Simplify right side
    3,976.49x = 12,608,177.70
  5. Step 5: Solve for x
    x = 12,608,177.70/3,976.49
  6. Step 6: Final answer
    x = 3,170.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.