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Finding the Fourth Proportional to 3,523.88, 5,285.81 and 2,864.97

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Solution

The fourth proportional to 3,523.88, 5,285.81 and 2,864.97 is: 4,297.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.88 : 5,285.81 = 2,864.97 : x
  2. Step 2: Convert to fraction form
    3,523.88/5,285.81 = 2,864.97/x
  3. Step 3: Cross multiply
    3,523.88x = 5,285.81 × 2,864.97
  4. Step 4: Simplify right side
    3,523.88x = 15,143,687.08
  5. Step 5: Solve for x
    x = 15,143,687.08/3,523.88
  6. Step 6: Final answer
    x = 4,297.45

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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.