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Finding the Fourth Proportional to 3,467.28, 5,202.72 and 2,650.80

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Solution

The fourth proportional to 3,467.28, 5,202.72 and 2,650.80 is: 3,977.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.28 : 5,202.72 = 2,650.80 : x
  2. Step 2: Convert to fraction form
    3,467.28/5,202.72 = 2,650.80/x
  3. Step 3: Cross multiply
    3,467.28x = 5,202.72 × 2,650.80
  4. Step 4: Simplify right side
    3,467.28x = 13,791,370.18
  5. Step 5: Solve for x
    x = 13,791,370.18/3,467.28
  6. Step 6: Final answer
    x = 3,977.58

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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.