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Finding the Fourth Proportional to 3,856.24, 5,787.60 and 2,008

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Solution

The fourth proportional to 3,856.24, 5,787.60 and 2,008 is: 3,013.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.24 : 5,787.60 = 2,008 : x
  2. Step 2: Convert to fraction form
    3,856.24/5,787.60 = 2,008/x
  3. Step 3: Cross multiply
    3,856.24x = 5,787.60 × 2,008
  4. Step 4: Simplify right side
    3,856.24x = 11,621,500.80
  5. Step 5: Solve for x
    x = 11,621,500.80/3,856.24
  6. Step 6: Final answer
    x = 3,013.69

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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.