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Finding the Fourth Proportional to 5,457.06, 8,183.25 and 2,682

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Solution

The fourth proportional to 5,457.06, 8,183.25 and 2,682 is: 4,021.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.06 : 8,183.25 = 2,682 : x
  2. Step 2: Convert to fraction form
    5,457.06/8,183.25 = 2,682/x
  3. Step 3: Cross multiply
    5,457.06x = 8,183.25 × 2,682
  4. Step 4: Simplify right side
    5,457.06x = 21,947,476.50
  5. Step 5: Solve for x
    x = 21,947,476.50/5,457.06
  6. Step 6: Final answer
    x = 4,021.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.