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Finding the Fourth Proportional to 3,846.44, 5,769.43 and 1,073.27

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Solution

The fourth proportional to 3,846.44, 5,769.43 and 1,073.27 is: 1,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.44 : 5,769.43 = 1,073.27 : x
  2. Step 2: Convert to fraction form
    3,846.44/5,769.43 = 1,073.27/x
  3. Step 3: Cross multiply
    3,846.44x = 5,769.43 × 1,073.27
  4. Step 4: Simplify right side
    3,846.44x = 6,192,156.14
  5. Step 5: Solve for x
    x = 6,192,156.14/3,846.44
  6. Step 6: Final answer
    x = 1,609.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.