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Finding the Fourth Proportional to 4,231.80, 6,344.46 and 3,797.64

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Solution

The fourth proportional to 4,231.80, 6,344.46 and 3,797.64 is: 5,693.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,231.80 : 6,344.46 = 3,797.64 : x
  2. Step 2: Convert to fraction form
    4,231.80/6,344.46 = 3,797.64/x
  3. Step 3: Cross multiply
    4,231.80x = 6,344.46 × 3,797.64
  4. Step 4: Simplify right side
    4,231.80x = 24,093,975.07
  5. Step 5: Solve for x
    x = 24,093,975.07/4,231.80
  6. Step 6: Final answer
    x = 5,693.55

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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.