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Finding the Fourth Proportional to 3,467.57, 5,203.30 and 1,387.73

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Solution

The fourth proportional to 3,467.57, 5,203.30 and 1,387.73 is: 2,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467.57 : 5,203.30 = 1,387.73 : x
  2. Step 2: Convert to fraction form
    3,467.57/5,203.30 = 1,387.73/x
  3. Step 3: Cross multiply
    3,467.57x = 5,203.30 × 1,387.73
  4. Step 4: Simplify right side
    3,467.57x = 7,220,785.05
  5. Step 5: Solve for x
    x = 7,220,785.05/3,467.57
  6. Step 6: Final answer
    x = 2,082.37

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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.