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Finding the Fourth Proportional to 6,446.28, 8,896.04 and 3,651.76

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Solution

The fourth proportional to 6,446.28, 8,896.04 and 3,651.76 is: 5,039.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.28 : 8,896.04 = 3,651.76 : x
  2. Step 2: Convert to fraction form
    6,446.28/8,896.04 = 3,651.76/x
  3. Step 3: Cross multiply
    6,446.28x = 8,896.04 × 3,651.76
  4. Step 4: Simplify right side
    6,446.28x = 32,486,203.03
  5. Step 5: Solve for x
    x = 32,486,203.03/6,446.28
  6. Step 6: Final answer
    x = 5,039.53

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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.