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Finding the Fourth Proportional to 3,936.08, 5,892.60 and 3,106.64

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Solution

The fourth proportional to 3,936.08, 5,892.60 and 3,106.64 is: 4,650.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,936.08 : 5,892.60 = 3,106.64 : x
  2. Step 2: Convert to fraction form
    3,936.08/5,892.60 = 3,106.64/x
  3. Step 3: Cross multiply
    3,936.08x = 5,892.60 × 3,106.64
  4. Step 4: Simplify right side
    3,936.08x = 18,306,186.86
  5. Step 5: Solve for x
    x = 18,306,186.86/3,936.08
  6. Step 6: Final answer
    x = 4,650.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.