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Finding the Fourth Proportional to 4,107.46, 6,162 and 1,333.62

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Solution

The fourth proportional to 4,107.46, 6,162 and 1,333.62 is: 2,000.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.46 : 6,162 = 1,333.62 : x
  2. Step 2: Convert to fraction form
    4,107.46/6,162 = 1,333.62/x
  3. Step 3: Cross multiply
    4,107.46x = 6,162 × 1,333.62
  4. Step 4: Simplify right side
    4,107.46x = 8,217,766.44
  5. Step 5: Solve for x
    x = 8,217,766.44/4,107.46
  6. Step 6: Final answer
    x = 2,000.69

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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.