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Finding the Fourth Proportional to 5,863.64, 8,091.56 and 3,211

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Solution

The fourth proportional to 5,863.64, 8,091.56 and 3,211 is: 4,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,863.64 : 8,091.56 = 3,211 : x
  2. Step 2: Convert to fraction form
    5,863.64/8,091.56 = 3,211/x
  3. Step 3: Cross multiply
    5,863.64x = 8,091.56 × 3,211
  4. Step 4: Simplify right side
    5,863.64x = 25,981,999.16
  5. Step 5: Solve for x
    x = 25,981,999.16/5,863.64
  6. Step 6: Final answer
    x = 4,431.04

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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.