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Finding the Fourth Proportional to 3,694, 5,097.84 and 2,296

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Solution

The fourth proportional to 3,694, 5,097.84 and 2,296 is: 3,168.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694 : 5,097.84 = 2,296 : x
  2. Step 2: Convert to fraction form
    3,694/5,097.84 = 2,296/x
  3. Step 3: Cross multiply
    3,694x = 5,097.84 × 2,296
  4. Step 4: Simplify right side
    3,694x = 11,704,640.64
  5. Step 5: Solve for x
    x = 11,704,640.64/3,694
  6. Step 6: Final answer
    x = 3,168.55

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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.