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Finding the Fourth Proportional to 3,642.28, 5,028.14 and 2,150.66

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Solution

The fourth proportional to 3,642.28, 5,028.14 and 2,150.66 is: 2,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.28 : 5,028.14 = 2,150.66 : x
  2. Step 2: Convert to fraction form
    3,642.28/5,028.14 = 2,150.66/x
  3. Step 3: Cross multiply
    3,642.28x = 5,028.14 × 2,150.66
  4. Step 4: Simplify right side
    3,642.28x = 10,813,819.57
  5. Step 5: Solve for x
    x = 10,813,819.57/3,642.28
  6. Step 6: Final answer
    x = 2,968.97

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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.