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Finding the Fourth Proportional to 3,922.49, 5,413.02 and 2,154.11

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Solution

The fourth proportional to 3,922.49, 5,413.02 and 2,154.11 is: 2,972.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.49 : 5,413.02 = 2,154.11 : x
  2. Step 2: Convert to fraction form
    3,922.49/5,413.02 = 2,154.11/x
  3. Step 3: Cross multiply
    3,922.49x = 5,413.02 × 2,154.11
  4. Step 4: Simplify right side
    3,922.49x = 11,660,240.51
  5. Step 5: Solve for x
    x = 11,660,240.51/3,922.49
  6. Step 6: Final answer
    x = 2,972.66

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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.