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Finding the Fourth Proportional to 6,446.40, 8,896.60 and 3,794.64

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Solution

The fourth proportional to 6,446.40, 8,896.60 and 3,794.64 is: 5,236.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.40 : 8,896.60 = 3,794.64 : x
  2. Step 2: Convert to fraction form
    6,446.40/8,896.60 = 3,794.64/x
  3. Step 3: Cross multiply
    6,446.40x = 8,896.60 × 3,794.64
  4. Step 4: Simplify right side
    6,446.40x = 33,759,394.22
  5. Step 5: Solve for x
    x = 33,759,394.22/6,446.40
  6. Step 6: Final answer
    x = 5,236.94

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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.