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Finding the Fourth Proportional to 3,967, 5,466.91 and 2,905.09

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Solution

The fourth proportional to 3,967, 5,466.91 and 2,905.09 is: 4,003.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967 : 5,466.91 = 2,905.09 : x
  2. Step 2: Convert to fraction form
    3,967/5,466.91 = 2,905.09/x
  3. Step 3: Cross multiply
    3,967x = 5,466.91 × 2,905.09
  4. Step 4: Simplify right side
    3,967x = 15,881,865.57
  5. Step 5: Solve for x
    x = 15,881,865.57/3,967
  6. Step 6: Final answer
    x = 4,003.50

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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.