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Finding the Fourth Proportional to 3,793.15, 5,234.36 and 2,114.74

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Solution

The fourth proportional to 3,793.15, 5,234.36 and 2,114.74 is: 2,918.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.15 : 5,234.36 = 2,114.74 : x
  2. Step 2: Convert to fraction form
    3,793.15/5,234.36 = 2,114.74/x
  3. Step 3: Cross multiply
    3,793.15x = 5,234.36 × 2,114.74
  4. Step 4: Simplify right side
    3,793.15x = 11,069,310.47
  5. Step 5: Solve for x
    x = 11,069,310.47/3,793.15
  6. Step 6: Final answer
    x = 2,918.24

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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.