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Finding the Fourth Proportional to 3,861.33, 5,791.94 and 939.64

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Solution

The fourth proportional to 3,861.33, 5,791.94 and 939.64 is: 1,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.33 : 5,791.94 = 939.64 : x
  2. Step 2: Convert to fraction form
    3,861.33/5,791.94 = 939.64/x
  3. Step 3: Cross multiply
    3,861.33x = 5,791.94 × 939.64
  4. Step 4: Simplify right side
    3,861.33x = 5,442,338.50
  5. Step 5: Solve for x
    x = 5,442,338.50/3,861.33
  6. Step 6: Final answer
    x = 1,409.45

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Why These Related Problems?

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