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Finding the Fourth Proportional to 3,856, 5,322 and 2,200

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Solution

The fourth proportional to 3,856, 5,322 and 2,200 is: 3,036.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856 : 5,322 = 2,200 : x
  2. Step 2: Convert to fraction form
    3,856/5,322 = 2,200/x
  3. Step 3: Cross multiply
    3,856x = 5,322 × 2,200
  4. Step 4: Simplify right side
    3,856x = 11,708,400
  5. Step 5: Solve for x
    x = 11,708,400/3,856
  6. Step 6: Final answer
    x = 3,036.41

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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.