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Finding the Fourth Proportional to 3,846.16, 5,771.04 and 1,996.27

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Solution

The fourth proportional to 3,846.16, 5,771.04 and 1,996.27 is: 2,995.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.16 : 5,771.04 = 1,996.27 : x
  2. Step 2: Convert to fraction form
    3,846.16/5,771.04 = 1,996.27/x
  3. Step 3: Cross multiply
    3,846.16x = 5,771.04 × 1,996.27
  4. Step 4: Simplify right side
    3,846.16x = 11,520,525.17
  5. Step 5: Solve for x
    x = 11,520,525.17/3,846.16
  6. Step 6: Final answer
    x = 2,995.34

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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.