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Finding the Fourth Proportional to 3,201.87, 4,796.38 and 2,544.82

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Solution

The fourth proportional to 3,201.87, 4,796.38 and 2,544.82 is: 3,812.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,201.87 : 4,796.38 = 2,544.82 : x
  2. Step 2: Convert to fraction form
    3,201.87/4,796.38 = 2,544.82/x
  3. Step 3: Cross multiply
    3,201.87x = 4,796.38 × 2,544.82
  4. Step 4: Simplify right side
    3,201.87x = 12,205,923.75
  5. Step 5: Solve for x
    x = 12,205,923.75/3,201.87
  6. Step 6: Final answer
    x = 3,812.12

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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.