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Finding the Fourth Proportional to 3,413.33, 4,709.91 and 1,921.17

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Solution

The fourth proportional to 3,413.33, 4,709.91 and 1,921.17 is: 2,650.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.33 : 4,709.91 = 1,921.17 : x
  2. Step 2: Convert to fraction form
    3,413.33/4,709.91 = 1,921.17/x
  3. Step 3: Cross multiply
    3,413.33x = 4,709.91 × 1,921.17
  4. Step 4: Simplify right side
    3,413.33x = 9,048,537.79
  5. Step 5: Solve for x
    x = 9,048,537.79/3,413.33
  6. Step 6: Final answer
    x = 2,650.94

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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.