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Finding the Fourth Proportional to 6,189.64, 8,544.65 and 3,922.12

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Solution

The fourth proportional to 6,189.64, 8,544.65 and 3,922.12 is: 5,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.64 : 8,544.65 = 3,922.12 : x
  2. Step 2: Convert to fraction form
    6,189.64/8,544.65 = 3,922.12/x
  3. Step 3: Cross multiply
    6,189.64x = 8,544.65 × 3,922.12
  4. Step 4: Simplify right side
    6,189.64x = 33,513,107.73
  5. Step 5: Solve for x
    x = 33,513,107.73/6,189.64
  6. Step 6: Final answer
    x = 5,414.38

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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.