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Finding the Fourth Proportional to 5,413.92, 8,120.88 and 1,309.92

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Solution

The fourth proportional to 5,413.92, 8,120.88 and 1,309.92 is: 1,964.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.92 : 8,120.88 = 1,309.92 : x
  2. Step 2: Convert to fraction form
    5,413.92/8,120.88 = 1,309.92/x
  3. Step 3: Cross multiply
    5,413.92x = 8,120.88 × 1,309.92
  4. Step 4: Simplify right side
    5,413.92x = 10,637,703.13
  5. Step 5: Solve for x
    x = 10,637,703.13/5,413.92
  6. Step 6: Final answer
    x = 1,964.88

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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.