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Finding the Fourth Proportional to 3,861.97, 5,327.78 and 2,369.34

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Solution

The fourth proportional to 3,861.97, 5,327.78 and 2,369.34 is: 3,268.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.97 : 5,327.78 = 2,369.34 : x
  2. Step 2: Convert to fraction form
    3,861.97/5,327.78 = 2,369.34/x
  3. Step 3: Cross multiply
    3,861.97x = 5,327.78 × 2,369.34
  4. Step 4: Simplify right side
    3,861.97x = 12,623,310.42
  5. Step 5: Solve for x
    x = 12,623,310.42/3,861.97
  6. Step 6: Final answer
    x = 3,268.62

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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.