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Finding the Fourth Proportional to 3,850.95, 5,336.64 and 3,777.12

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Solution

The fourth proportional to 3,850.95, 5,336.64 and 3,777.12 is: 5,234.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.95 : 5,336.64 = 3,777.12 : x
  2. Step 2: Convert to fraction form
    3,850.95/5,336.64 = 3,777.12/x
  3. Step 3: Cross multiply
    3,850.95x = 5,336.64 × 3,777.12
  4. Step 4: Simplify right side
    3,850.95x = 20,157,129.68
  5. Step 5: Solve for x
    x = 20,157,129.68/3,850.95
  6. Step 6: Final answer
    x = 5,234.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.