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Finding the Fourth Proportional to 3,760.49, 5,640.49 and 1,295.36

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Solution

The fourth proportional to 3,760.49, 5,640.49 and 1,295.36 is: 1,942.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760.49 : 5,640.49 = 1,295.36 : x
  2. Step 2: Convert to fraction form
    3,760.49/5,640.49 = 1,295.36/x
  3. Step 3: Cross multiply
    3,760.49x = 5,640.49 × 1,295.36
  4. Step 4: Simplify right side
    3,760.49x = 7,306,433.69
  5. Step 5: Solve for x
    x = 7,306,433.69/3,760.49
  6. Step 6: Final answer
    x = 1,942.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.