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Finding the Fourth Proportional to 5,906.09, 8,150.34 and 3,253.44

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Solution

The fourth proportional to 5,906.09, 8,150.34 and 3,253.44 is: 4,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.09 : 8,150.34 = 3,253.44 : x
  2. Step 2: Convert to fraction form
    5,906.09/8,150.34 = 3,253.44/x
  3. Step 3: Cross multiply
    5,906.09x = 8,150.34 × 3,253.44
  4. Step 4: Simplify right side
    5,906.09x = 26,516,642.17
  5. Step 5: Solve for x
    x = 26,516,642.17/5,906.09
  6. Step 6: Final answer
    x = 4,489.71

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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.