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Finding the Fourth Proportional to 5,286.50, 7,295.42 and 2,896.44

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Solution

The fourth proportional to 5,286.50, 7,295.42 and 2,896.44 is: 3,997.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.50 : 7,295.42 = 2,896.44 : x
  2. Step 2: Convert to fraction form
    5,286.50/7,295.42 = 2,896.44/x
  3. Step 3: Cross multiply
    5,286.50x = 7,295.42 × 2,896.44
  4. Step 4: Simplify right side
    5,286.50x = 21,130,731.82
  5. Step 5: Solve for x
    x = 21,130,731.82/5,286.50
  6. Step 6: Final answer
    x = 3,997.12

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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.