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Finding the Fourth Proportional to 3,576.69, 4,936.10 and 1,983.42

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Solution

The fourth proportional to 3,576.69, 4,936.10 and 1,983.42 is: 2,737.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.69 : 4,936.10 = 1,983.42 : x
  2. Step 2: Convert to fraction form
    3,576.69/4,936.10 = 1,983.42/x
  3. Step 3: Cross multiply
    3,576.69x = 4,936.10 × 1,983.42
  4. Step 4: Simplify right side
    3,576.69x = 9,790,349.54
  5. Step 5: Solve for x
    x = 9,790,349.54/3,576.69
  6. Step 6: Final answer
    x = 2,737.27

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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.