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Finding the Fourth Proportional to 2,851.37, 3,906.31 and 2,744.76

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Solution

The fourth proportional to 2,851.37, 3,906.31 and 2,744.76 is: 3,760.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,851.37 : 3,906.31 = 2,744.76 : x
  2. Step 2: Convert to fraction form
    2,851.37/3,906.31 = 2,744.76/x
  3. Step 3: Cross multiply
    2,851.37x = 3,906.31 × 2,744.76
  4. Step 4: Simplify right side
    2,851.37x = 10,721,870.46
  5. Step 5: Solve for x
    x = 10,721,870.46/2,851.37
  6. Step 6: Final answer
    x = 3,760.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.