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Finding the Fourth Proportional to 4,691.44, 6,467.50 and 3,197.44

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Solution

The fourth proportional to 4,691.44, 6,467.50 and 3,197.44 is: 4,407.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,691.44 : 6,467.50 = 3,197.44 : x
  2. Step 2: Convert to fraction form
    4,691.44/6,467.50 = 3,197.44/x
  3. Step 3: Cross multiply
    4,691.44x = 6,467.50 × 3,197.44
  4. Step 4: Simplify right side
    4,691.44x = 20,679,443.20
  5. Step 5: Solve for x
    x = 20,679,443.20/4,691.44
  6. Step 6: Final answer
    x = 4,407.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.