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Finding the Fourth Proportional to 3,797.99, 5,240.73 and 2,204.39

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Solution

The fourth proportional to 3,797.99, 5,240.73 and 2,204.39 is: 3,041.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.99 : 5,240.73 = 2,204.39 : x
  2. Step 2: Convert to fraction form
    3,797.99/5,240.73 = 2,204.39/x
  3. Step 3: Cross multiply
    3,797.99x = 5,240.73 × 2,204.39
  4. Step 4: Simplify right side
    3,797.99x = 11,552,600.83
  5. Step 5: Solve for x
    x = 11,552,600.83/3,797.99
  6. Step 6: Final answer
    x = 3,041.77

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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.