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Finding the Fourth Proportional to 3,793.02, 5,234.49 and 2,114.43

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Solution

The fourth proportional to 3,793.02, 5,234.49 and 2,114.43 is: 2,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.02 : 5,234.49 = 2,114.43 : x
  2. Step 2: Convert to fraction form
    3,793.02/5,234.49 = 2,114.43/x
  3. Step 3: Cross multiply
    3,793.02x = 5,234.49 × 2,114.43
  4. Step 4: Simplify right side
    3,793.02x = 11,067,962.69
  5. Step 5: Solve for x
    x = 11,067,962.69/3,793.02
  6. Step 6: Final answer
    x = 2,917.98

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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.