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Finding the Fourth Proportional to 3,463.80, 5,197.10 and 1,413.24

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Solution

The fourth proportional to 3,463.80, 5,197.10 and 1,413.24 is: 2,120.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.80 : 5,197.10 = 1,413.24 : x
  2. Step 2: Convert to fraction form
    3,463.80/5,197.10 = 1,413.24/x
  3. Step 3: Cross multiply
    3,463.80x = 5,197.10 × 1,413.24
  4. Step 4: Simplify right side
    3,463.80x = 7,344,749.60
  5. Step 5: Solve for x
    x = 7,344,749.60/3,463.80
  6. Step 6: Final answer
    x = 2,120.43

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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.