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Finding the Fourth Proportional to 3,523.73, 5,286.21 and 1,576.09

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Solution

The fourth proportional to 3,523.73, 5,286.21 and 1,576.09 is: 2,364.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.73 : 5,286.21 = 1,576.09 : x
  2. Step 2: Convert to fraction form
    3,523.73/5,286.21 = 1,576.09/x
  3. Step 3: Cross multiply
    3,523.73x = 5,286.21 × 1,576.09
  4. Step 4: Simplify right side
    3,523.73x = 8,331,508.41
  5. Step 5: Solve for x
    x = 8,331,508.41/3,523.73
  6. Step 6: Final answer
    x = 2,364.40

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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.