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Finding the Fourth Proportional to 3,864.72, 5,794.88 and 1,231.71

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Solution

The fourth proportional to 3,864.72, 5,794.88 and 1,231.71 is: 1,846.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.72 : 5,794.88 = 1,231.71 : x
  2. Step 2: Convert to fraction form
    3,864.72/5,794.88 = 1,231.71/x
  3. Step 3: Cross multiply
    3,864.72x = 5,794.88 × 1,231.71
  4. Step 4: Simplify right side
    3,864.72x = 7,137,605.49
  5. Step 5: Solve for x
    x = 7,137,605.49/3,864.72
  6. Step 6: Final answer
    x = 1,846.86

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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.