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Finding the Fourth Proportional to 3,576.34, 4,935.22 and 1,982.94

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Solution

The fourth proportional to 3,576.34, 4,935.22 and 1,982.94 is: 2,736.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.34 : 4,935.22 = 1,982.94 : x
  2. Step 2: Convert to fraction form
    3,576.34/4,935.22 = 1,982.94/x
  3. Step 3: Cross multiply
    3,576.34x = 4,935.22 × 1,982.94
  4. Step 4: Simplify right side
    3,576.34x = 9,786,245.15
  5. Step 5: Solve for x
    x = 9,786,245.15/3,576.34
  6. Step 6: Final answer
    x = 2,736.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.