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Finding the Fourth Proportional to 3,503.80, 5,255.69 and 1,163.98

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Solution

The fourth proportional to 3,503.80, 5,255.69 and 1,163.98 is: 1,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,503.80 : 5,255.69 = 1,163.98 : x
  2. Step 2: Convert to fraction form
    3,503.80/5,255.69 = 1,163.98/x
  3. Step 3: Cross multiply
    3,503.80x = 5,255.69 × 1,163.98
  4. Step 4: Simplify right side
    3,503.80x = 6,117,518.05
  5. Step 5: Solve for x
    x = 6,117,518.05/3,503.80
  6. Step 6: Final answer
    x = 1,745.97

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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.