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Finding the Fourth Proportional to 3,873, 5,338.44 and 3,032.22

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Solution

The fourth proportional to 3,873, 5,338.44 and 3,032.22 is: 4,179.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,873 : 5,338.44 = 3,032.22 : x
  2. Step 2: Convert to fraction form
    3,873/5,338.44 = 3,032.22/x
  3. Step 3: Cross multiply
    3,873x = 5,338.44 × 3,032.22
  4. Step 4: Simplify right side
    3,873x = 16,187,324.54
  5. Step 5: Solve for x
    x = 16,187,324.54/3,873
  6. Step 6: Final answer
    x = 4,179.53

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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.