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Finding the Fourth Proportional to 5,906.17, 8,154.66 and 3,920.86

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Solution

The fourth proportional to 5,906.17, 8,154.66 and 3,920.86 is: 5,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.17 : 8,154.66 = 3,920.86 : x
  2. Step 2: Convert to fraction form
    5,906.17/8,154.66 = 3,920.86/x
  3. Step 3: Cross multiply
    5,906.17x = 8,154.66 × 3,920.86
  4. Step 4: Simplify right side
    5,906.17x = 31,973,280.21
  5. Step 5: Solve for x
    x = 31,973,280.21/5,906.17
  6. Step 6: Final answer
    x = 5,413.54

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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.