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Finding the Fourth Proportional to 4,867.52, 7,296.36 and 2,096

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Solution

The fourth proportional to 4,867.52, 7,296.36 and 2,096 is: 3,141.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,867.52 : 7,296.36 = 2,096 : x
  2. Step 2: Convert to fraction form
    4,867.52/7,296.36 = 2,096/x
  3. Step 3: Cross multiply
    4,867.52x = 7,296.36 × 2,096
  4. Step 4: Simplify right side
    4,867.52x = 15,293,170.56
  5. Step 5: Solve for x
    x = 15,293,170.56/4,867.52
  6. Step 6: Final answer
    x = 3,141.88

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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.