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Finding the Fourth Proportional to 3,793.36, 5,680.44 and 2,559.44

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Solution

The fourth proportional to 3,793.36, 5,680.44 and 2,559.44 is: 3,832.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.36 : 5,680.44 = 2,559.44 : x
  2. Step 2: Convert to fraction form
    3,793.36/5,680.44 = 2,559.44/x
  3. Step 3: Cross multiply
    3,793.36x = 5,680.44 × 2,559.44
  4. Step 4: Simplify right side
    3,793.36x = 14,538,745.35
  5. Step 5: Solve for x
    x = 14,538,745.35/3,793.36
  6. Step 6: Final answer
    x = 3,832.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.