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Finding the Fourth Proportional to 5,906.21, 8,149.89 and 3,387.63

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Solution

The fourth proportional to 5,906.21, 8,149.89 and 3,387.63 is: 4,674.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.21 : 8,149.89 = 3,387.63 : x
  2. Step 2: Convert to fraction form
    5,906.21/8,149.89 = 3,387.63/x
  3. Step 3: Cross multiply
    5,906.21x = 8,149.89 × 3,387.63
  4. Step 4: Simplify right side
    5,906.21x = 27,608,811.86
  5. Step 5: Solve for x
    x = 27,608,811.86/5,906.21
  6. Step 6: Final answer
    x = 4,674.54

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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.