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Finding the Fourth Proportional to 4,896.92, 7,343.48 and 2,396.57

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Solution

The fourth proportional to 4,896.92, 7,343.48 and 2,396.57 is: 3,593.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896.92 : 7,343.48 = 2,396.57 : x
  2. Step 2: Convert to fraction form
    4,896.92/7,343.48 = 2,396.57/x
  3. Step 3: Cross multiply
    4,896.92x = 7,343.48 × 2,396.57
  4. Step 4: Simplify right side
    4,896.92x = 17,599,133.14
  5. Step 5: Solve for x
    x = 17,599,133.14/4,896.92
  6. Step 6: Final answer
    x = 3,593.92

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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.