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Finding the Fourth Proportional to 5,540.64, 8,297.73 and 3,195.74

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Solution

The fourth proportional to 5,540.64, 8,297.73 and 3,195.74 is: 4,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,540.64 : 8,297.73 = 3,195.74 : x
  2. Step 2: Convert to fraction form
    5,540.64/8,297.73 = 3,195.74/x
  3. Step 3: Cross multiply
    5,540.64x = 8,297.73 × 3,195.74
  4. Step 4: Simplify right side
    5,540.64x = 26,517,346.18
  5. Step 5: Solve for x
    x = 26,517,346.18/5,540.64
  6. Step 6: Final answer
    x = 4,785.97

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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.