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Finding the Fourth Proportional to 5,286.64, 7,295.55 and 2,896.61

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Solution

The fourth proportional to 5,286.64, 7,295.55 and 2,896.61 is: 3,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.64 : 7,295.55 = 2,896.61 : x
  2. Step 2: Convert to fraction form
    5,286.64/7,295.55 = 2,896.61/x
  3. Step 3: Cross multiply
    5,286.64x = 7,295.55 × 2,896.61
  4. Step 4: Simplify right side
    5,286.64x = 21,132,353.05
  5. Step 5: Solve for x
    x = 21,132,353.05/5,286.64
  6. Step 6: Final answer
    x = 3,997.32

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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.