Home / 3,413.76-5,122.24-2,029.84

Finding the Fourth Proportional to 3,413.76, 5,122.24 and 2,029.84

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Solution

The fourth proportional to 3,413.76, 5,122.24 and 2,029.84 is: 3,045.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.76 : 5,122.24 = 2,029.84 : x
  2. Step 2: Convert to fraction form
    3,413.76/5,122.24 = 2,029.84/x
  3. Step 3: Cross multiply
    3,413.76x = 5,122.24 × 2,029.84
  4. Step 4: Simplify right side
    3,413.76x = 10,397,327.64
  5. Step 5: Solve for x
    x = 10,397,327.64/3,413.76
  6. Step 6: Final answer
    x = 3,045.71

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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.