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Finding the Fourth Proportional to 3,576.75, 4,935.92 and 2,004.95

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Solution

The fourth proportional to 3,576.75, 4,935.92 and 2,004.95 is: 2,766.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.75 : 4,935.92 = 2,004.95 : x
  2. Step 2: Convert to fraction form
    3,576.75/4,935.92 = 2,004.95/x
  3. Step 3: Cross multiply
    3,576.75x = 4,935.92 × 2,004.95
  4. Step 4: Simplify right side
    3,576.75x = 9,896,272.80
  5. Step 5: Solve for x
    x = 9,896,272.80/3,576.75
  6. Step 6: Final answer
    x = 2,766.83

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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.