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Finding the Fourth Proportional to 3,797.70, 5,240.82 and 2,119.12

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Solution

The fourth proportional to 3,797.70, 5,240.82 and 2,119.12 is: 2,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.70 : 5,240.82 = 2,119.12 : x
  2. Step 2: Convert to fraction form
    3,797.70/5,240.82 = 2,119.12/x
  3. Step 3: Cross multiply
    3,797.70x = 5,240.82 × 2,119.12
  4. Step 4: Simplify right side
    3,797.70x = 11,105,926.48
  5. Step 5: Solve for x
    x = 11,105,926.48/3,797.70
  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.