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Finding the Fourth Proportional to 3,361.75, 5,042.70 and 1,413.97

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Solution

The fourth proportional to 3,361.75, 5,042.70 and 1,413.97 is: 2,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.75 : 5,042.70 = 1,413.97 : x
  2. Step 2: Convert to fraction form
    3,361.75/5,042.70 = 1,413.97/x
  3. Step 3: Cross multiply
    3,361.75x = 5,042.70 × 1,413.97
  4. Step 4: Simplify right side
    3,361.75x = 7,130,226.52
  5. Step 5: Solve for x
    x = 7,130,226.52/3,361.75
  6. Step 6: Final answer
    x = 2,120.99

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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.