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Finding the Fourth Proportional to 3,738.96, 5,162.23 and 2,324.80

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Solution

The fourth proportional to 3,738.96, 5,162.23 and 2,324.80 is: 3,209.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.96 : 5,162.23 = 2,324.80 : x
  2. Step 2: Convert to fraction form
    3,738.96/5,162.23 = 2,324.80/x
  3. Step 3: Cross multiply
    3,738.96x = 5,162.23 × 2,324.80
  4. Step 4: Simplify right side
    3,738.96x = 12,001,161.66
  5. Step 5: Solve for x
    x = 12,001,161.66/3,738.96
  6. Step 6: Final answer
    x = 3,209.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.