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Finding the Fourth Proportional to 3,209.46, 4,806.62 and 2,511.24

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Solution

The fourth proportional to 3,209.46, 4,806.62 and 2,511.24 is: 3,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,209.46 : 4,806.62 = 2,511.24 : x
  2. Step 2: Convert to fraction form
    3,209.46/4,806.62 = 2,511.24/x
  3. Step 3: Cross multiply
    3,209.46x = 4,806.62 × 2,511.24
  4. Step 4: Simplify right side
    3,209.46x = 12,070,576.41
  5. Step 5: Solve for x
    x = 12,070,576.41/3,209.46
  6. Step 6: Final answer
    x = 3,760.94

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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.