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Finding the Fourth Proportional to 5,944.06, 8,201.19 and 3,850.30

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Solution

The fourth proportional to 5,944.06, 8,201.19 and 3,850.30 is: 5,312.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,944.06 : 8,201.19 = 3,850.30 : x
  2. Step 2: Convert to fraction form
    5,944.06/8,201.19 = 3,850.30/x
  3. Step 3: Cross multiply
    5,944.06x = 8,201.19 × 3,850.30
  4. Step 4: Simplify right side
    5,944.06x = 31,577,041.86
  5. Step 5: Solve for x
    x = 31,577,041.86/5,944.06
  6. Step 6: Final answer
    x = 5,312.37

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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.