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Finding the Fourth Proportional to 3,983.38, 5,976.75 and 2,134

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Solution

The fourth proportional to 3,983.38, 5,976.75 and 2,134 is: 3,201.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.38 : 5,976.75 = 2,134 : x
  2. Step 2: Convert to fraction form
    3,983.38/5,976.75 = 2,134/x
  3. Step 3: Cross multiply
    3,983.38x = 5,976.75 × 2,134
  4. Step 4: Simplify right side
    3,983.38x = 12,754,384.50
  5. Step 5: Solve for x
    x = 12,754,384.50/3,983.38
  6. Step 6: Final answer
    x = 3,201.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.