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Finding the Fourth Proportional to 5,950.36, 8,212.86 and 3,961

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Solution

The fourth proportional to 5,950.36, 8,212.86 and 3,961 is: 5,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,950.36 : 8,212.86 = 3,961 : x
  2. Step 2: Convert to fraction form
    5,950.36/8,212.86 = 3,961/x
  3. Step 3: Cross multiply
    5,950.36x = 8,212.86 × 3,961
  4. Step 4: Simplify right side
    5,950.36x = 32,531,138.46
  5. Step 5: Solve for x
    x = 32,531,138.46/5,950.36
  6. Step 6: Final answer
    x = 5,467.09

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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.