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Finding the Fourth Proportional to 3,882.82, 5,362.10 and 3,320.04

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Solution

The fourth proportional to 3,882.82, 5,362.10 and 3,320.04 is: 4,584.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.82 : 5,362.10 = 3,320.04 : x
  2. Step 2: Convert to fraction form
    3,882.82/5,362.10 = 3,320.04/x
  3. Step 3: Cross multiply
    3,882.82x = 5,362.10 × 3,320.04
  4. Step 4: Simplify right side
    3,882.82x = 17,802,386.48
  5. Step 5: Solve for x
    x = 17,802,386.48/3,882.82
  6. Step 6: Final answer
    x = 4,584.91

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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.