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Finding the Fourth Proportional to 3,922.95, 5,413.74 and 2,154.54

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Solution

The fourth proportional to 3,922.95, 5,413.74 and 2,154.54 is: 2,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922.95 : 5,413.74 = 2,154.54 : x
  2. Step 2: Convert to fraction form
    3,922.95/5,413.74 = 2,154.54/x
  3. Step 3: Cross multiply
    3,922.95x = 5,413.74 × 2,154.54
  4. Step 4: Simplify right side
    3,922.95x = 11,664,119.38
  5. Step 5: Solve for x
    x = 11,664,119.38/3,922.95
  6. Step 6: Final answer
    x = 2,973.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.