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Finding the Fourth Proportional to 3,710.70, 5,121.30 and 2,138.46

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Solution

The fourth proportional to 3,710.70, 5,121.30 and 2,138.46 is: 2,951.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,710.70 : 5,121.30 = 2,138.46 : x
  2. Step 2: Convert to fraction form
    3,710.70/5,121.30 = 2,138.46/x
  3. Step 3: Cross multiply
    3,710.70x = 5,121.30 × 2,138.46
  4. Step 4: Simplify right side
    3,710.70x = 10,951,695.20
  5. Step 5: Solve for x
    x = 10,951,695.20/3,710.70
  6. Step 6: Final answer
    x = 2,951.38

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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.