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Finding the Fourth Proportional to 3,704.96, 5,112.92 and 2,026.49

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Solution

The fourth proportional to 3,704.96, 5,112.92 and 2,026.49 is: 2,796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.96 : 5,112.92 = 2,026.49 : x
  2. Step 2: Convert to fraction form
    3,704.96/5,112.92 = 2,026.49/x
  3. Step 3: Cross multiply
    3,704.96x = 5,112.92 × 2,026.49
  4. Step 4: Simplify right side
    3,704.96x = 10,361,260.75
  5. Step 5: Solve for x
    x = 10,361,260.75/3,704.96
  6. Step 6: Final answer
    x = 2,796.59

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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.