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Finding the Fourth Proportional to 5,640.64, 8,462.69 and 2,523.27

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Solution

The fourth proportional to 5,640.64, 8,462.69 and 2,523.27 is: 3,785.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,640.64 : 8,462.69 = 2,523.27 : x
  2. Step 2: Convert to fraction form
    5,640.64/8,462.69 = 2,523.27/x
  3. Step 3: Cross multiply
    5,640.64x = 8,462.69 × 2,523.27
  4. Step 4: Simplify right side
    5,640.64x = 21,353,651.80
  5. Step 5: Solve for x
    x = 21,353,651.80/5,640.64
  6. Step 6: Final answer
    x = 3,785.68

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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.