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Finding the Fourth Proportional to 3,755.25, 5,626.19 and 3,201.82

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Solution

The fourth proportional to 3,755.25, 5,626.19 and 3,201.82 is: 4,797.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.25 : 5,626.19 = 3,201.82 : x
  2. Step 2: Convert to fraction form
    3,755.25/5,626.19 = 3,201.82/x
  3. Step 3: Cross multiply
    3,755.25x = 5,626.19 × 3,201.82
  4. Step 4: Simplify right side
    3,755.25x = 18,014,041.60
  5. Step 5: Solve for x
    x = 18,014,041.60/3,755.25
  6. Step 6: Final answer
    x = 4,797.03

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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.