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Finding the Fourth Proportional to 3,766.56, 5,198.31 and 2,274.54

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Solution

The fourth proportional to 3,766.56, 5,198.31 and 2,274.54 is: 3,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,766.56 : 5,198.31 = 2,274.54 : x
  2. Step 2: Convert to fraction form
    3,766.56/5,198.31 = 2,274.54/x
  3. Step 3: Cross multiply
    3,766.56x = 5,198.31 × 2,274.54
  4. Step 4: Simplify right side
    3,766.56x = 11,823,764.03
  5. Step 5: Solve for x
    x = 11,823,764.03/3,766.56
  6. Step 6: Final answer
    x = 3,139.14

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1.5x scale

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.