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Finding the Fourth Proportional to 3,618.82, 5,428.23 and 882.82

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Solution

The fourth proportional to 3,618.82, 5,428.23 and 882.82 is: 1,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,618.82 : 5,428.23 = 882.82 : x
  2. Step 2: Convert to fraction form
    3,618.82/5,428.23 = 882.82/x
  3. Step 3: Cross multiply
    3,618.82x = 5,428.23 × 882.82
  4. Step 4: Simplify right side
    3,618.82x = 4,792,150.01
  5. Step 5: Solve for x
    x = 4,792,150.01/3,618.82
  6. Step 6: Final answer
    x = 1,324.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.