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Finding the Fourth Proportional to 5,850.75, 8,074.16 and 3,198.16

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Solution

The fourth proportional to 5,850.75, 8,074.16 and 3,198.16 is: 4,413.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.75 : 8,074.16 = 3,198.16 : x
  2. Step 2: Convert to fraction form
    5,850.75/8,074.16 = 3,198.16/x
  3. Step 3: Cross multiply
    5,850.75x = 8,074.16 × 3,198.16
  4. Step 4: Simplify right side
    5,850.75x = 25,822,414.51
  5. Step 5: Solve for x
    x = 25,822,414.51/5,850.75
  6. Step 6: Final answer
    x = 4,413.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.