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Finding the Fourth Proportional to 3,413.12, 5,119.79 and 947.97

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Solution

The fourth proportional to 3,413.12, 5,119.79 and 947.97 is: 1,421.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.12 : 5,119.79 = 947.97 : x
  2. Step 2: Convert to fraction form
    3,413.12/5,119.79 = 947.97/x
  3. Step 3: Cross multiply
    3,413.12x = 5,119.79 × 947.97
  4. Step 4: Simplify right side
    3,413.12x = 4,853,407.33
  5. Step 5: Solve for x
    x = 4,853,407.33/3,413.12
  6. Step 6: Final answer
    x = 1,421.99

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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.