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Finding the Fourth Proportional to 5,163.69, 7,743.97 and 1,466.22

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Solution

The fourth proportional to 5,163.69, 7,743.97 and 1,466.22 is: 2,198.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.69 : 7,743.97 = 1,466.22 : x
  2. Step 2: Convert to fraction form
    5,163.69/7,743.97 = 1,466.22/x
  3. Step 3: Cross multiply
    5,163.69x = 7,743.97 × 1,466.22
  4. Step 4: Simplify right side
    5,163.69x = 11,354,363.69
  5. Step 5: Solve for x
    x = 11,354,363.69/5,163.69
  6. Step 6: Final answer
    x = 2,198.89

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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.