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Finding the Fourth Proportional to 4,294.56, 6,441.84 and 2,213.27

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Solution

The fourth proportional to 4,294.56, 6,441.84 and 2,213.27 is: 3,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,294.56 : 6,441.84 = 2,213.27 : x
  2. Step 2: Convert to fraction form
    4,294.56/6,441.84 = 2,213.27/x
  3. Step 3: Cross multiply
    4,294.56x = 6,441.84 × 2,213.27
  4. Step 4: Simplify right side
    4,294.56x = 14,257,499.01
  5. Step 5: Solve for x
    x = 14,257,499.01/4,294.56
  6. Step 6: Final answer
    x = 3,319.90

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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.