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Finding the Fourth Proportional to 3,793.23, 5,234.72 and 2,221.32

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Solution

The fourth proportional to 3,793.23, 5,234.72 and 2,221.32 is: 3,065.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.23 : 5,234.72 = 2,221.32 : x
  2. Step 2: Convert to fraction form
    3,793.23/5,234.72 = 2,221.32/x
  3. Step 3: Cross multiply
    3,793.23x = 5,234.72 × 2,221.32
  4. Step 4: Simplify right side
    3,793.23x = 11,627,977.12
  5. Step 5: Solve for x
    x = 11,627,977.12/3,793.23
  6. Step 6: Final answer
    x = 3,065.46

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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.