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Finding the Fourth Proportional to 3,362.70, 5,044.07 and 1,413.84

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Solution

The fourth proportional to 3,362.70, 5,044.07 and 1,413.84 is: 2,120.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.70 : 5,044.07 = 1,413.84 : x
  2. Step 2: Convert to fraction form
    3,362.70/5,044.07 = 1,413.84/x
  3. Step 3: Cross multiply
    3,362.70x = 5,044.07 × 1,413.84
  4. Step 4: Simplify right side
    3,362.70x = 7,131,507.93
  5. Step 5: Solve for x
    x = 7,131,507.93/3,362.70
  6. Step 6: Final answer
    x = 2,120.77

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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.