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Finding the Fourth Proportional to 3,793.09, 5,234.44 and 2,114.47

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Solution

The fourth proportional to 3,793.09, 5,234.44 and 2,114.47 is: 2,917.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.09 : 5,234.44 = 2,114.47 : x
  2. Step 2: Convert to fraction form
    3,793.09/5,234.44 = 2,114.47/x
  3. Step 3: Cross multiply
    3,793.09x = 5,234.44 × 2,114.47
  4. Step 4: Simplify right side
    3,793.09x = 11,068,066.35
  5. Step 5: Solve for x
    x = 11,068,066.35/3,793.09
  6. Step 6: Final answer
    x = 2,917.96

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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.