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Finding the Fourth Proportional to 4,961.92, 6,847.74 and 2,972.56

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Solution

The fourth proportional to 4,961.92, 6,847.74 and 2,972.56 is: 4,102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.92 : 6,847.74 = 2,972.56 : x
  2. Step 2: Convert to fraction form
    4,961.92/6,847.74 = 2,972.56/x
  3. Step 3: Cross multiply
    4,961.92x = 6,847.74 × 2,972.56
  4. Step 4: Simplify right side
    4,961.92x = 20,355,318.01
  5. Step 5: Solve for x
    x = 20,355,318.01/4,961.92
  6. Step 6: Final answer
    x = 4,102.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.