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Finding the Fourth Proportional to 3,694.08, 5,100 and 2,704.56

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Solution

The fourth proportional to 3,694.08, 5,100 and 2,704.56 is: 3,733.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.08 : 5,100 = 2,704.56 : x
  2. Step 2: Convert to fraction form
    3,694.08/5,100 = 2,704.56/x
  3. Step 3: Cross multiply
    3,694.08x = 5,100 × 2,704.56
  4. Step 4: Simplify right side
    3,694.08x = 13,793,256
  5. Step 5: Solve for x
    x = 13,793,256/3,694.08
  6. Step 6: Final answer
    x = 3,733.88

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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.