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Finding the Fourth Proportional to 3,413.59, 5,116.47 and 1,659.49

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Solution

The fourth proportional to 3,413.59, 5,116.47 and 1,659.49 is: 2,487.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.59 : 5,116.47 = 1,659.49 : x
  2. Step 2: Convert to fraction form
    3,413.59/5,116.47 = 1,659.49/x
  3. Step 3: Cross multiply
    3,413.59x = 5,116.47 × 1,659.49
  4. Step 4: Simplify right side
    3,413.59x = 8,490,730.80
  5. Step 5: Solve for x
    x = 8,490,730.80/3,413.59
  6. Step 6: Final answer
    x = 2,487.33

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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.