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Finding the Fourth Proportional to 5,665.28, 8,496.64 and 4,912.64

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Solution

The fourth proportional to 5,665.28, 8,496.64 and 4,912.64 is: 7,367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,665.28 : 8,496.64 = 4,912.64 : x
  2. Step 2: Convert to fraction form
    5,665.28/8,496.64 = 4,912.64/x
  3. Step 3: Cross multiply
    5,665.28x = 8,496.64 × 4,912.64
  4. Step 4: Simplify right side
    5,665.28x = 41,740,933.53
  5. Step 5: Solve for x
    x = 41,740,933.53/5,665.28
  6. Step 6: Final answer
    x = 7,367.85

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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.