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Finding the Fourth Proportional to 3,866.19, 5,797.56 and 1,233.21

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Solution

The fourth proportional to 3,866.19, 5,797.56 and 1,233.21 is: 1,849.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.19 : 5,797.56 = 1,233.21 : x
  2. Step 2: Convert to fraction form
    3,866.19/5,797.56 = 1,233.21/x
  3. Step 3: Cross multiply
    3,866.19x = 5,797.56 × 1,233.21
  4. Step 4: Simplify right side
    3,866.19x = 7,149,608.97
  5. Step 5: Solve for x
    x = 7,149,608.97/3,866.19
  6. Step 6: Final answer
    x = 1,849.26

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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.