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Finding the Fourth Proportional to 3,864.52, 5,797.23 and 1,231.11

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Solution

The fourth proportional to 3,864.52, 5,797.23 and 1,231.11 is: 1,846.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864.52 : 5,797.23 = 1,231.11 : x
  2. Step 2: Convert to fraction form
    3,864.52/5,797.23 = 1,231.11/x
  3. Step 3: Cross multiply
    3,864.52x = 5,797.23 × 1,231.11
  4. Step 4: Simplify right side
    3,864.52x = 7,136,995.76
  5. Step 5: Solve for x
    x = 7,136,995.76/3,864.52
  6. Step 6: Final answer
    x = 1,846.80

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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.