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Finding the Fourth Proportional to 3,697.96, 5,103.27 and 2,019.43

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Solution

The fourth proportional to 3,697.96, 5,103.27 and 2,019.43 is: 2,786.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.96 : 5,103.27 = 2,019.43 : x
  2. Step 2: Convert to fraction form
    3,697.96/5,103.27 = 2,019.43/x
  3. Step 3: Cross multiply
    3,697.96x = 5,103.27 × 2,019.43
  4. Step 4: Simplify right side
    3,697.96x = 10,305,696.54
  5. Step 5: Solve for x
    x = 10,305,696.54/3,697.96
  6. Step 6: Final answer
    x = 2,786.86

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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.