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Finding the Fourth Proportional to 5,736.32, 8,608 and 2,272.96

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Solution

The fourth proportional to 5,736.32, 8,608 and 2,272.96 is: 3,410.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.32 : 8,608 = 2,272.96 : x
  2. Step 2: Convert to fraction form
    5,736.32/8,608 = 2,272.96/x
  3. Step 3: Cross multiply
    5,736.32x = 8,608 × 2,272.96
  4. Step 4: Simplify right side
    5,736.32x = 19,565,639.68
  5. Step 5: Solve for x
    x = 19,565,639.68/5,736.32
  6. Step 6: Final answer
    x = 3,410.83

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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.