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Finding the Fourth Proportional to 3,462.60, 5,197.20 and 3,221.28

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Solution

The fourth proportional to 3,462.60, 5,197.20 and 3,221.28 is: 4,834.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,462.60 : 5,197.20 = 3,221.28 : x
  2. Step 2: Convert to fraction form
    3,462.60/5,197.20 = 3,221.28/x
  3. Step 3: Cross multiply
    3,462.60x = 5,197.20 × 3,221.28
  4. Step 4: Simplify right side
    3,462.60x = 16,741,636.42
  5. Step 5: Solve for x
    x = 16,741,636.42/3,462.60
  6. Step 6: Final answer
    x = 4,834.99

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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.