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Finding the Fourth Proportional to 5,286.66, 7,295.28 and 2,896.62

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Solution

The fourth proportional to 5,286.66, 7,295.28 and 2,896.62 is: 3,997.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.66 : 7,295.28 = 2,896.62 : x
  2. Step 2: Convert to fraction form
    5,286.66/7,295.28 = 2,896.62/x
  3. Step 3: Cross multiply
    5,286.66x = 7,295.28 × 2,896.62
  4. Step 4: Simplify right side
    5,286.66x = 21,131,653.95
  5. Step 5: Solve for x
    x = 21,131,653.95/5,286.66
  6. Step 6: Final answer
    x = 3,997.17

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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.