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Finding the Fourth Proportional to 3,767.99, 5,196.56 and 2,422.17

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Solution

The fourth proportional to 3,767.99, 5,196.56 and 2,422.17 is: 3,340.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,767.99 : 5,196.56 = 2,422.17 : x
  2. Step 2: Convert to fraction form
    3,767.99/5,196.56 = 2,422.17/x
  3. Step 3: Cross multiply
    3,767.99x = 5,196.56 × 2,422.17
  4. Step 4: Simplify right side
    3,767.99x = 12,586,939.62
  5. Step 5: Solve for x
    x = 12,586,939.62/3,767.99
  6. Step 6: Final answer
    x = 3,340.50

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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.