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Finding the Fourth Proportional to 4,000.96, 5,529 and 3,213.64

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Solution

The fourth proportional to 4,000.96, 5,529 and 3,213.64 is: 4,440.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.96 : 5,529 = 3,213.64 : x
  2. Step 2: Convert to fraction form
    4,000.96/5,529 = 3,213.64/x
  3. Step 3: Cross multiply
    4,000.96x = 5,529 × 3,213.64
  4. Step 4: Simplify right side
    4,000.96x = 17,768,215.56
  5. Step 5: Solve for x
    x = 17,768,215.56/4,000.96
  6. Step 6: Final answer
    x = 4,440.99

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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.