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Finding the Fourth Proportional to 3,874.80, 5,812.89 and 1,413.07

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Solution

The fourth proportional to 3,874.80, 5,812.89 and 1,413.07 is: 2,119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.80 : 5,812.89 = 1,413.07 : x
  2. Step 2: Convert to fraction form
    3,874.80/5,812.89 = 1,413.07/x
  3. Step 3: Cross multiply
    3,874.80x = 5,812.89 × 1,413.07
  4. Step 4: Simplify right side
    3,874.80x = 8,214,020.47
  5. Step 5: Solve for x
    x = 8,214,020.47/3,874.80
  6. Step 6: Final answer
    x = 2,119.86

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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.