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Finding the Fourth Proportional to 3,694.63, 5,098.26 and 2,122.42

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Solution

The fourth proportional to 3,694.63, 5,098.26 and 2,122.42 is: 2,928.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.63 : 5,098.26 = 2,122.42 : x
  2. Step 2: Convert to fraction form
    3,694.63/5,098.26 = 2,122.42/x
  3. Step 3: Cross multiply
    3,694.63x = 5,098.26 × 2,122.42
  4. Step 4: Simplify right side
    3,694.63x = 10,820,648.99
  5. Step 5: Solve for x
    x = 10,820,648.99/3,694.63
  6. Step 6: Final answer
    x = 2,928.75

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1.5x scale

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.