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Finding the Fourth Proportional to 3,413.96, 5,119.49 and 1,440.47

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Solution

The fourth proportional to 3,413.96, 5,119.49 and 1,440.47 is: 2,160.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.96 : 5,119.49 = 1,440.47 : x
  2. Step 2: Convert to fraction form
    3,413.96/5,119.49 = 1,440.47/x
  3. Step 3: Cross multiply
    3,413.96x = 5,119.49 × 1,440.47
  4. Step 4: Simplify right side
    3,413.96x = 7,374,471.76
  5. Step 5: Solve for x
    x = 7,374,471.76/3,413.96
  6. Step 6: Final answer
    x = 2,160.09

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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.