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Finding the Fourth Proportional to 3,413.68, 4,711.56 and 2,016.88

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Solution

The fourth proportional to 3,413.68, 4,711.56 and 2,016.88 is: 2,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.68 : 4,711.56 = 2,016.88 : x
  2. Step 2: Convert to fraction form
    3,413.68/4,711.56 = 2,016.88/x
  3. Step 3: Cross multiply
    3,413.68x = 4,711.56 × 2,016.88
  4. Step 4: Simplify right side
    3,413.68x = 9,502,651.13
  5. Step 5: Solve for x
    x = 9,502,651.13/3,413.68
  6. Step 6: Final answer
    x = 2,783.70

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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.