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Finding the Fourth Proportional to 3,802.23, 5,239.17 and 3,553.83

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Solution

The fourth proportional to 3,802.23, 5,239.17 and 3,553.83 is: 4,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,802.23 : 5,239.17 = 3,553.83 : x
  2. Step 2: Convert to fraction form
    3,802.23/5,239.17 = 3,553.83/x
  3. Step 3: Cross multiply
    3,802.23x = 5,239.17 × 3,553.83
  4. Step 4: Simplify right side
    3,802.23x = 18,619,119.52
  5. Step 5: Solve for x
    x = 18,619,119.52/3,802.23
  6. Step 6: Final answer
    x = 4,896.89

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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.