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Finding the Fourth Proportional to 3,753.21, 5,626.78 and 1,563.59

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Solution

The fourth proportional to 3,753.21, 5,626.78 and 1,563.59 is: 2,344.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,753.21 : 5,626.78 = 1,563.59 : x
  2. Step 2: Convert to fraction form
    3,753.21/5,626.78 = 1,563.59/x
  3. Step 3: Cross multiply
    3,753.21x = 5,626.78 × 1,563.59
  4. Step 4: Simplify right side
    3,753.21x = 8,797,976.94
  5. Step 5: Solve for x
    x = 8,797,976.94/3,753.21
  6. Step 6: Final answer
    x = 2,344.12

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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.