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Finding the Fourth Proportional to 3,767.27, 5,198.72 and 2,274.63

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Solution

The fourth proportional to 3,767.27, 5,198.72 and 2,274.63 is: 3,138.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.27 : 5,198.72 = 2,274.63 : x
  2. Step 2: Convert to fraction form
    3,767.27/5,198.72 = 2,274.63/x
  3. Step 3: Cross multiply
    3,767.27x = 5,198.72 × 2,274.63
  4. Step 4: Simplify right side
    3,767.27x = 11,825,153.10
  5. Step 5: Solve for x
    x = 11,825,153.10/3,767.27
  6. Step 6: Final answer
    x = 3,138.92

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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.