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Finding the Fourth Proportional to 3,413.52, 5,117.09 and 3,109.14

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Solution

The fourth proportional to 3,413.52, 5,117.09 and 3,109.14 is: 4,660.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.52 : 5,117.09 = 3,109.14 : x
  2. Step 2: Convert to fraction form
    3,413.52/5,117.09 = 3,109.14/x
  3. Step 3: Cross multiply
    3,413.52x = 5,117.09 × 3,109.14
  4. Step 4: Simplify right side
    3,413.52x = 15,909,733.66
  5. Step 5: Solve for x
    x = 15,909,733.66/3,413.52
  6. Step 6: Final answer
    x = 4,660.80

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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.