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Finding the Fourth Proportional to 3,861.44, 5,742.48 and 3,738.42

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Solution

The fourth proportional to 3,861.44, 5,742.48 and 3,738.42 is: 5,559.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.44 : 5,742.48 = 3,738.42 : x
  2. Step 2: Convert to fraction form
    3,861.44/5,742.48 = 3,738.42/x
  3. Step 3: Cross multiply
    3,861.44x = 5,742.48 × 3,738.42
  4. Step 4: Simplify right side
    3,861.44x = 21,467,791.31
  5. Step 5: Solve for x
    x = 21,467,791.31/3,861.44
  6. Step 6: Final answer
    x = 5,559.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.