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Finding the Fourth Proportional to 2,861.92, 4,285.52 and 2,536.32

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Solution

The fourth proportional to 2,861.92, 4,285.52 and 2,536.32 is: 3,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.92 : 4,285.52 = 2,536.32 : x
  2. Step 2: Convert to fraction form
    2,861.92/4,285.52 = 2,536.32/x
  3. Step 3: Cross multiply
    2,861.92x = 4,285.52 × 2,536.32
  4. Step 4: Simplify right side
    2,861.92x = 10,869,450.09
  5. Step 5: Solve for x
    x = 10,869,450.09/2,861.92
  6. Step 6: Final answer
    x = 3,797.96

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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.