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Finding the Fourth Proportional to 3,922.92, 5,413.62 and 2,154.48

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Solution

The fourth proportional to 3,922.92, 5,413.62 and 2,154.48 is: 2,973.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.92 : 5,413.62 = 2,154.48 : x
  2. Step 2: Convert to fraction form
    3,922.92/5,413.62 = 2,154.48/x
  3. Step 3: Cross multiply
    3,922.92x = 5,413.62 × 2,154.48
  4. Step 4: Simplify right side
    3,922.92x = 11,663,536.02
  5. Step 5: Solve for x
    x = 11,663,536.02/3,922.92
  6. Step 6: Final answer
    x = 2,973.18

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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.