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Finding the Fourth Proportional to 3,882.33, 5,357.07 and 2,203.20

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Solution

The fourth proportional to 3,882.33, 5,357.07 and 2,203.20 is: 3,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.33 : 5,357.07 = 2,203.20 : x
  2. Step 2: Convert to fraction form
    3,882.33/5,357.07 = 2,203.20/x
  3. Step 3: Cross multiply
    3,882.33x = 5,357.07 × 2,203.20
  4. Step 4: Simplify right side
    3,882.33x = 11,802,696.62
  5. Step 5: Solve for x
    x = 11,802,696.62/3,882.33
  6. Step 6: Final answer
    x = 3,040.11

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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.