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Finding the Fourth Proportional to 5,850.59, 8,074 and 3,197.94

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Solution

The fourth proportional to 5,850.59, 8,074 and 3,197.94 is: 4,413.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.59 : 8,074 = 3,197.94 : x
  2. Step 2: Convert to fraction form
    5,850.59/8,074 = 3,197.94/x
  3. Step 3: Cross multiply
    5,850.59x = 8,074 × 3,197.94
  4. Step 4: Simplify right side
    5,850.59x = 25,820,167.56
  5. Step 5: Solve for x
    x = 25,820,167.56/5,850.59
  6. Step 6: Final answer
    x = 4,413.26

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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.