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Finding the Fourth Proportional to 3,793.12, 5,234.75 and 2,114.50

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Solution

The fourth proportional to 3,793.12, 5,234.75 and 2,114.50 is: 2,918.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.12 : 5,234.75 = 2,114.50 : x
  2. Step 2: Convert to fraction form
    3,793.12/5,234.75 = 2,114.50/x
  3. Step 3: Cross multiply
    3,793.12x = 5,234.75 × 2,114.50
  4. Step 4: Simplify right side
    3,793.12x = 11,068,878.88
  5. Step 5: Solve for x
    x = 11,068,878.88/3,793.12
  6. Step 6: Final answer
    x = 2,918.15

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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.