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Finding the Fourth Proportional to 3,866.22, 5,797.12 and 1,233.22

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Solution

The fourth proportional to 3,866.22, 5,797.12 and 1,233.22 is: 1,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.22 : 5,797.12 = 1,233.22 : x
  2. Step 2: Convert to fraction form
    3,866.22/5,797.12 = 1,233.22/x
  3. Step 3: Cross multiply
    3,866.22x = 5,797.12 × 1,233.22
  4. Step 4: Simplify right side
    3,866.22x = 7,149,124.33
  5. Step 5: Solve for x
    x = 7,149,124.33/3,866.22
  6. Step 6: Final answer
    x = 1,849.13

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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.