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Finding the Fourth Proportional to 3,299.94, 4,553.82 and 2,857.68

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Solution

The fourth proportional to 3,299.94, 4,553.82 and 2,857.68 is: 3,943.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.94 : 4,553.82 = 2,857.68 : x
  2. Step 2: Convert to fraction form
    3,299.94/4,553.82 = 2,857.68/x
  3. Step 3: Cross multiply
    3,299.94x = 4,553.82 × 2,857.68
  4. Step 4: Simplify right side
    3,299.94x = 13,013,360.34
  5. Step 5: Solve for x
    x = 13,013,360.34/3,299.94
  6. Step 6: Final answer
    x = 3,943.51

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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.