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Finding the Fourth Proportional to 5,850.12, 8,073.73 and 3,197.93

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Solution

The fourth proportional to 5,850.12, 8,073.73 and 3,197.93 is: 4,413.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.12 : 8,073.73 = 3,197.93 : x
  2. Step 2: Convert to fraction form
    5,850.12/8,073.73 = 3,197.93/x
  3. Step 3: Cross multiply
    5,850.12x = 8,073.73 × 3,197.93
  4. Step 4: Simplify right side
    5,850.12x = 25,819,223.38
  5. Step 5: Solve for x
    x = 25,819,223.38/5,850.12
  6. Step 6: Final answer
    x = 4,413.45

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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.