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Finding the Fourth Proportional to 4,103.82, 5,662.98 and 3,221.73

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Solution

The fourth proportional to 4,103.82, 5,662.98 and 3,221.73 is: 4,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.82 : 5,662.98 = 3,221.73 : x
  2. Step 2: Convert to fraction form
    4,103.82/5,662.98 = 3,221.73/x
  3. Step 3: Cross multiply
    4,103.82x = 5,662.98 × 3,221.73
  4. Step 4: Simplify right side
    4,103.82x = 18,244,592.56
  5. Step 5: Solve for x
    x = 18,244,592.56/4,103.82
  6. Step 6: Final answer
    x = 4,445.76

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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.