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Finding the Fourth Proportional to 3,266.49, 4,497.51 and 2,882.83

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Solution

The fourth proportional to 3,266.49, 4,497.51 and 2,882.83 is: 3,969.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,266.49 : 4,497.51 = 2,882.83 : x
  2. Step 2: Convert to fraction form
    3,266.49/4,497.51 = 2,882.83/x
  3. Step 3: Cross multiply
    3,266.49x = 4,497.51 × 2,882.83
  4. Step 4: Simplify right side
    3,266.49x = 12,965,556.75
  5. Step 5: Solve for x
    x = 12,965,556.75/3,266.49
  6. Step 6: Final answer
    x = 3,969.26

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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.