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Finding the Fourth Proportional to 3,413.96, 4,711.26 and 1,921.90

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Solution

The fourth proportional to 3,413.96, 4,711.26 and 1,921.90 is: 2,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.96 : 4,711.26 = 1,921.90 : x
  2. Step 2: Convert to fraction form
    3,413.96/4,711.26 = 1,921.90/x
  3. Step 3: Cross multiply
    3,413.96x = 4,711.26 × 1,921.90
  4. Step 4: Simplify right side
    3,413.96x = 9,054,570.59
  5. Step 5: Solve for x
    x = 9,054,570.59/3,413.96
  6. Step 6: Final answer
    x = 2,652.22

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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.