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Finding the Fourth Proportional to 5,472.64, 8,196.72 and 2,546.56

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Solution

The fourth proportional to 5,472.64, 8,196.72 and 2,546.56 is: 3,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,472.64 : 8,196.72 = 2,546.56 : x
  2. Step 2: Convert to fraction form
    5,472.64/8,196.72 = 2,546.56/x
  3. Step 3: Cross multiply
    5,472.64x = 8,196.72 × 2,546.56
  4. Step 4: Simplify right side
    5,472.64x = 20,873,439.28
  5. Step 5: Solve for x
    x = 20,873,439.28/5,472.64
  6. Step 6: Final answer
    x = 3,814.14

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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.