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Finding the Fourth Proportional to 4,961.72, 6,834.96 and 4,251.24

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Solution

The fourth proportional to 4,961.72, 6,834.96 and 4,251.24 is: 5,856.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,961.72 : 6,834.96 = 4,251.24 : x
  2. Step 2: Convert to fraction form
    4,961.72/6,834.96 = 4,251.24/x
  3. Step 3: Cross multiply
    4,961.72x = 6,834.96 × 4,251.24
  4. Step 4: Simplify right side
    4,961.72x = 29,057,055.35
  5. Step 5: Solve for x
    x = 29,057,055.35/4,961.72
  6. Step 6: Final answer
    x = 5,856.25

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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.