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Finding the Fourth Proportional to 3,797.81, 5,240.82 and 2,204.37

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Solution

The fourth proportional to 3,797.81, 5,240.82 and 2,204.37 is: 3,041.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.81 : 5,240.82 = 2,204.37 : x
  2. Step 2: Convert to fraction form
    3,797.81/5,240.82 = 2,204.37/x
  3. Step 3: Cross multiply
    3,797.81x = 5,240.82 × 2,204.37
  4. Step 4: Simplify right side
    3,797.81x = 11,552,706.38
  5. Step 5: Solve for x
    x = 11,552,706.38/3,797.81
  6. Step 6: Final answer
    x = 3,041.94

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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.