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Finding the Fourth Proportional to 3,753.20, 5,621.70 and 3,267.20

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Solution

The fourth proportional to 3,753.20, 5,621.70 and 3,267.20 is: 4,893.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.20 : 5,621.70 = 3,267.20 : x
  2. Step 2: Convert to fraction form
    3,753.20/5,621.70 = 3,267.20/x
  3. Step 3: Cross multiply
    3,753.20x = 5,621.70 × 3,267.20
  4. Step 4: Simplify right side
    3,753.20x = 18,367,218.24
  5. Step 5: Solve for x
    x = 18,367,218.24/3,753.20
  6. Step 6: Final answer
    x = 4,893.75

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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.