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Finding the Fourth Proportional to 3,850.38, 5,309.46 and 3,009.60

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Solution

The fourth proportional to 3,850.38, 5,309.46 and 3,009.60 is: 4,150.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.38 : 5,309.46 = 3,009.60 : x
  2. Step 2: Convert to fraction form
    3,850.38/5,309.46 = 3,009.60/x
  3. Step 3: Cross multiply
    3,850.38x = 5,309.46 × 3,009.60
  4. Step 4: Simplify right side
    3,850.38x = 15,979,350.82
  5. Step 5: Solve for x
    x = 15,979,350.82/3,850.38
  6. Step 6: Final answer
    x = 4,150.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.