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Finding the Fourth Proportional to 5,413.76, 8,120.94 and 1,518.47

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Solution

The fourth proportional to 5,413.76, 8,120.94 and 1,518.47 is: 2,277.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.76 : 8,120.94 = 1,518.47 : x
  2. Step 2: Convert to fraction form
    5,413.76/8,120.94 = 1,518.47/x
  3. Step 3: Cross multiply
    5,413.76x = 8,120.94 × 1,518.47
  4. Step 4: Simplify right side
    5,413.76x = 12,331,363.16
  5. Step 5: Solve for x
    x = 12,331,363.16/5,413.76
  6. Step 6: Final answer
    x = 2,277.78

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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.