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Finding the Fourth Proportional to 4,299.64, 6,446.70 and 2,353.21

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Solution

The fourth proportional to 4,299.64, 6,446.70 and 2,353.21 is: 3,528.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,299.64 : 6,446.70 = 2,353.21 : x
  2. Step 2: Convert to fraction form
    4,299.64/6,446.70 = 2,353.21/x
  3. Step 3: Cross multiply
    4,299.64x = 6,446.70 × 2,353.21
  4. Step 4: Simplify right side
    4,299.64x = 15,170,438.91
  5. Step 5: Solve for x
    x = 15,170,438.91/4,299.64
  6. Step 6: Final answer
    x = 3,528.30

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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.