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Finding the Fourth Proportional to 3,950.56, 5,451.75 and 2,182.17

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Solution

The fourth proportional to 3,950.56, 5,451.75 and 2,182.17 is: 3,011.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950.56 : 5,451.75 = 2,182.17 : x
  2. Step 2: Convert to fraction form
    3,950.56/5,451.75 = 2,182.17/x
  3. Step 3: Cross multiply
    3,950.56x = 5,451.75 × 2,182.17
  4. Step 4: Simplify right side
    3,950.56x = 11,896,645.30
  5. Step 5: Solve for x
    x = 11,896,645.30/3,950.56
  6. Step 6: Final answer
    x = 3,011.38

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Why These Related Problems?

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