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Finding the Fourth Proportional to 3,642.71, 5,028.82 and 2,581.34

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Solution

The fourth proportional to 3,642.71, 5,028.82 and 2,581.34 is: 3,563.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.71 : 5,028.82 = 2,581.34 : x
  2. Step 2: Convert to fraction form
    3,642.71/5,028.82 = 2,581.34/x
  3. Step 3: Cross multiply
    3,642.71x = 5,028.82 × 2,581.34
  4. Step 4: Simplify right side
    3,642.71x = 12,981,062.62
  5. Step 5: Solve for x
    x = 12,981,062.62/3,642.71
  6. Step 6: Final answer
    x = 3,563.58

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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.