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Finding the Fourth Proportional to 5,667.22, 8,500.50 and 2,546.42

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Solution

The fourth proportional to 5,667.22, 8,500.50 and 2,546.42 is: 3,819.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.22 : 8,500.50 = 2,546.42 : x
  2. Step 2: Convert to fraction form
    5,667.22/8,500.50 = 2,546.42/x
  3. Step 3: Cross multiply
    5,667.22x = 8,500.50 × 2,546.42
  4. Step 4: Simplify right side
    5,667.22x = 21,645,843.21
  5. Step 5: Solve for x
    x = 21,645,843.21/5,667.22
  6. Step 6: Final answer
    x = 3,819.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.