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Finding the Fourth Proportional to 3,793, 5,234.34 and 2,137

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Solution

The fourth proportional to 3,793, 5,234.34 and 2,137 is: 2,949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793 : 5,234.34 = 2,137 : x
  2. Step 2: Convert to fraction form
    3,793/5,234.34 = 2,137/x
  3. Step 3: Cross multiply
    3,793x = 5,234.34 × 2,137
  4. Step 4: Simplify right side
    3,793x = 11,185,784.58
  5. Step 5: Solve for x
    x = 11,185,784.58/3,793
  6. Step 6: Final answer
    x = 2,949.06

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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.