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Finding the Fourth Proportional to 3,227.72, 4,454.43 and 1,811.33

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Solution

The fourth proportional to 3,227.72, 4,454.43 and 1,811.33 is: 2,499.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,227.72 : 4,454.43 = 1,811.33 : x
  2. Step 2: Convert to fraction form
    3,227.72/4,454.43 = 1,811.33/x
  3. Step 3: Cross multiply
    3,227.72x = 4,454.43 × 1,811.33
  4. Step 4: Simplify right side
    3,227.72x = 8,068,420.42
  5. Step 5: Solve for x
    x = 8,068,420.42/3,227.72
  6. Step 6: Final answer
    x = 2,499.73

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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.