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Finding the Fourth Proportional to 3,413.66, 4,711.59 and 2,016.62

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Solution

The fourth proportional to 3,413.66, 4,711.59 and 2,016.62 is: 2,783.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.66 : 4,711.59 = 2,016.62 : x
  2. Step 2: Convert to fraction form
    3,413.66/4,711.59 = 2,016.62/x
  3. Step 3: Cross multiply
    3,413.66x = 4,711.59 × 2,016.62
  4. Step 4: Simplify right side
    3,413.66x = 9,501,486.63
  5. Step 5: Solve for x
    x = 9,501,486.63/3,413.66
  6. Step 6: Final answer
    x = 2,783.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.