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Finding the Fourth Proportional to 3,797.88, 5,240.94 and 2,119.17

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Solution

The fourth proportional to 3,797.88, 5,240.94 and 2,119.17 is: 2,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.88 : 5,240.94 = 2,119.17 : x
  2. Step 2: Convert to fraction form
    3,797.88/5,240.94 = 2,119.17/x
  3. Step 3: Cross multiply
    3,797.88x = 5,240.94 × 2,119.17
  4. Step 4: Simplify right side
    3,797.88x = 11,106,442.82
  5. Step 5: Solve for x
    x = 11,106,442.82/3,797.88
  6. Step 6: Final answer
    x = 2,924.38

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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.