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Finding the Fourth Proportional to 3,413.67, 4,711.14 and 1,921.50

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Solution

The fourth proportional to 3,413.67, 4,711.14 and 1,921.50 is: 2,651.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.67 : 4,711.14 = 1,921.50 : x
  2. Step 2: Convert to fraction form
    3,413.67/4,711.14 = 1,921.50/x
  3. Step 3: Cross multiply
    3,413.67x = 4,711.14 × 1,921.50
  4. Step 4: Simplify right side
    3,413.67x = 9,052,455.51
  5. Step 5: Solve for x
    x = 9,052,455.51/3,413.67
  6. Step 6: Final answer
    x = 2,651.83

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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.