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Finding the Fourth Proportional to 3,806.72, 5,701.97 and 2,162.42

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Solution

The fourth proportional to 3,806.72, 5,701.97 and 2,162.42 is: 3,239.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.72 : 5,701.97 = 2,162.42 : x
  2. Step 2: Convert to fraction form
    3,806.72/5,701.97 = 2,162.42/x
  3. Step 3: Cross multiply
    3,806.72x = 5,701.97 × 2,162.42
  4. Step 4: Simplify right side
    3,806.72x = 12,330,020.05
  5. Step 5: Solve for x
    x = 12,330,020.05/3,806.72
  6. Step 6: Final answer
    x = 3,239.02

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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.