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Finding the Fourth Proportional to 3,738.74, 5,161.94 and 2,324.54

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Solution

The fourth proportional to 3,738.74, 5,161.94 and 2,324.54 is: 3,209.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,738.74 : 5,161.94 = 2,324.54 : x
  2. Step 2: Convert to fraction form
    3,738.74/5,161.94 = 2,324.54/x
  3. Step 3: Cross multiply
    3,738.74x = 5,161.94 × 2,324.54
  4. Step 4: Simplify right side
    3,738.74x = 11,999,136.01
  5. Step 5: Solve for x
    x = 11,999,136.01/3,738.74
  6. Step 6: Final answer
    x = 3,209.41

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Why These Related Problems?

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