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Finding the Fourth Proportional to 4,227.69, 6,343.62 and 3,194.01

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Solution

The fourth proportional to 4,227.69, 6,343.62 and 3,194.01 is: 4,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,227.69 : 6,343.62 = 3,194.01 : x
  2. Step 2: Convert to fraction form
    4,227.69/6,343.62 = 3,194.01/x
  3. Step 3: Cross multiply
    4,227.69x = 6,343.62 × 3,194.01
  4. Step 4: Simplify right side
    4,227.69x = 20,261,585.72
  5. Step 5: Solve for x
    x = 20,261,585.72/4,227.69
  6. Step 6: Final answer
    x = 4,792.59

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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.