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Finding the Fourth Proportional to 3,969, 5,956.23 and 1,371.94

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Solution

The fourth proportional to 3,969, 5,956.23 and 1,371.94 is: 2,058.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969 : 5,956.23 = 1,371.94 : x
  2. Step 2: Convert to fraction form
    3,969/5,956.23 = 1,371.94/x
  3. Step 3: Cross multiply
    3,969x = 5,956.23 × 1,371.94
  4. Step 4: Simplify right side
    3,969x = 8,171,580.44
  5. Step 5: Solve for x
    x = 8,171,580.44/3,969
  6. Step 6: Final answer
    x = 2,058.85

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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.