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Finding the Fourth Proportional to 3,861.92, 5,785.32 and 1,908.20

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Solution

The fourth proportional to 3,861.92, 5,785.32 and 1,908.20 is: 2,858.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.92 : 5,785.32 = 1,908.20 : x
  2. Step 2: Convert to fraction form
    3,861.92/5,785.32 = 1,908.20/x
  3. Step 3: Cross multiply
    3,861.92x = 5,785.32 × 1,908.20
  4. Step 4: Simplify right side
    3,861.92x = 11,039,547.62
  5. Step 5: Solve for x
    x = 11,039,547.62/3,861.92
  6. Step 6: Final answer
    x = 2,858.56

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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.