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Finding the Fourth Proportional to 3,967.26, 5,946.24 and 2,211.42

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Solution

The fourth proportional to 3,967.26, 5,946.24 and 2,211.42 is: 3,314.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.26 : 5,946.24 = 2,211.42 : x
  2. Step 2: Convert to fraction form
    3,967.26/5,946.24 = 2,211.42/x
  3. Step 3: Cross multiply
    3,967.26x = 5,946.24 × 2,211.42
  4. Step 4: Simplify right side
    3,967.26x = 13,149,634.06
  5. Step 5: Solve for x
    x = 13,149,634.06/3,967.26
  6. Step 6: Final answer
    x = 3,314.54

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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.