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Finding the Fourth Proportional to 5,163.88, 7,744.38 and 1,465.96

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Solution

The fourth proportional to 5,163.88, 7,744.38 and 1,465.96 is: 2,198.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.88 : 7,744.38 = 1,465.96 : x
  2. Step 2: Convert to fraction form
    5,163.88/7,744.38 = 1,465.96/x
  3. Step 3: Cross multiply
    5,163.88x = 7,744.38 × 1,465.96
  4. Step 4: Simplify right side
    5,163.88x = 11,352,951.30
  5. Step 5: Solve for x
    x = 11,352,951.30/5,163.88
  6. Step 6: Final answer
    x = 2,198.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.