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Finding the Fourth Proportional to 5,413.97, 8,120.99 and 1,715.92

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Solution

The fourth proportional to 5,413.97, 8,120.99 and 1,715.92 is: 2,573.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,413.97 : 8,120.99 = 1,715.92 : x
  2. Step 2: Convert to fraction form
    5,413.97/8,120.99 = 1,715.92/x
  3. Step 3: Cross multiply
    5,413.97x = 8,120.99 × 1,715.92
  4. Step 4: Simplify right side
    5,413.97x = 13,934,953.15
  5. Step 5: Solve for x
    x = 13,934,953.15/5,413.97
  6. Step 6: Final answer
    x = 2,573.89

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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.