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Finding the Fourth Proportional to 4,576.62, 6,865.14 and 2,233.83

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Solution

The fourth proportional to 4,576.62, 6,865.14 and 2,233.83 is: 3,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.62 : 6,865.14 = 2,233.83 : x
  2. Step 2: Convert to fraction form
    4,576.62/6,865.14 = 2,233.83/x
  3. Step 3: Cross multiply
    4,576.62x = 6,865.14 × 2,233.83
  4. Step 4: Simplify right side
    4,576.62x = 15,335,555.69
  5. Step 5: Solve for x
    x = 15,335,555.69/4,576.62
  6. Step 6: Final answer
    x = 3,350.85

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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.