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Finding the Fourth Proportional to 5,969.28, 8,236.64 and 3,316.64

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Solution

The fourth proportional to 5,969.28, 8,236.64 and 3,316.64 is: 4,576.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.28 : 8,236.64 = 3,316.64 : x
  2. Step 2: Convert to fraction form
    5,969.28/8,236.64 = 3,316.64/x
  3. Step 3: Cross multiply
    5,969.28x = 8,236.64 × 3,316.64
  4. Step 4: Simplify right side
    5,969.28x = 27,317,969.69
  5. Step 5: Solve for x
    x = 27,317,969.69/5,969.28
  6. Step 6: Final answer
    x = 4,576.43

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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.