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Finding the Fourth Proportional to 5,906.37, 8,150.41 and 3,253.77

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Solution

The fourth proportional to 5,906.37, 8,150.41 and 3,253.77 is: 4,489.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,906.37 : 8,150.41 = 3,253.77 : x
  2. Step 2: Convert to fraction form
    5,906.37/8,150.41 = 3,253.77/x
  3. Step 3: Cross multiply
    5,906.37x = 8,150.41 × 3,253.77
  4. Step 4: Simplify right side
    5,906.37x = 26,519,559.55
  5. Step 5: Solve for x
    x = 26,519,559.55/5,906.37
  6. Step 6: Final answer
    x = 4,489.99

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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.