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Finding the Fourth Proportional to 3,843.87, 5,760.36 and 1,532.67

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Solution

The fourth proportional to 3,843.87, 5,760.36 and 1,532.67 is: 2,296.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.87 : 5,760.36 = 1,532.67 : x
  2. Step 2: Convert to fraction form
    3,843.87/5,760.36 = 1,532.67/x
  3. Step 3: Cross multiply
    3,843.87x = 5,760.36 × 1,532.67
  4. Step 4: Simplify right side
    3,843.87x = 8,828,730.96
  5. Step 5: Solve for x
    x = 8,828,730.96/3,843.87
  6. Step 6: Final answer
    x = 2,296.83

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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.