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Finding the Fourth Proportional to 4,161.72, 6,243.72 and 2,079.21

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Solution

The fourth proportional to 4,161.72, 6,243.72 and 2,079.21 is: 3,119.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,161.72 : 6,243.72 = 2,079.21 : x
  2. Step 2: Convert to fraction form
    4,161.72/6,243.72 = 2,079.21/x
  3. Step 3: Cross multiply
    4,161.72x = 6,243.72 × 2,079.21
  4. Step 4: Simplify right side
    4,161.72x = 12,982,005.06
  5. Step 5: Solve for x
    x = 12,982,005.06/4,161.72
  6. Step 6: Final answer
    x = 3,119.38

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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.