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Finding the Fourth Proportional to 3,846.75, 5,768.06 and 1,993.27

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Solution

The fourth proportional to 3,846.75, 5,768.06 and 1,993.27 is: 2,988.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.75 : 5,768.06 = 1,993.27 : x
  2. Step 2: Convert to fraction form
    3,846.75/5,768.06 = 1,993.27/x
  3. Step 3: Cross multiply
    3,846.75x = 5,768.06 × 1,993.27
  4. Step 4: Simplify right side
    3,846.75x = 11,497,300.96
  5. Step 5: Solve for x
    x = 11,497,300.96/3,846.75
  6. Step 6: Final answer
    x = 2,988.83

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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.