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Finding the Fourth Proportional to 3,922.79, 5,413.41 and 2,154.42

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Solution

The fourth proportional to 3,922.79, 5,413.41 and 2,154.42 is: 2,973.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.79 : 5,413.41 = 2,154.42 : x
  2. Step 2: Convert to fraction form
    3,922.79/5,413.41 = 2,154.42/x
  3. Step 3: Cross multiply
    3,922.79x = 5,413.41 × 2,154.42
  4. Step 4: Simplify right side
    3,922.79x = 11,662,758.77
  5. Step 5: Solve for x
    x = 11,662,758.77/3,922.79
  6. Step 6: Final answer
    x = 2,973.08

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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.