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Finding the Fourth Proportional to 3,413.49, 5,120.07 and 1,411.93

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Solution

The fourth proportional to 3,413.49, 5,120.07 and 1,411.93 is: 2,117.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.49 : 5,120.07 = 1,411.93 : x
  2. Step 2: Convert to fraction form
    3,413.49/5,120.07 = 1,411.93/x
  3. Step 3: Cross multiply
    3,413.49x = 5,120.07 × 1,411.93
  4. Step 4: Simplify right side
    3,413.49x = 7,229,180.44
  5. Step 5: Solve for x
    x = 7,229,180.44/3,413.49
  6. Step 6: Final answer
    x = 2,117.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.