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Finding the Fourth Proportional to 3,797.85, 5,694.64 and 2,918.17

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Solution

The fourth proportional to 3,797.85, 5,694.64 and 2,918.17 is: 4,375.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.85 : 5,694.64 = 2,918.17 : x
  2. Step 2: Convert to fraction form
    3,797.85/5,694.64 = 2,918.17/x
  3. Step 3: Cross multiply
    3,797.85x = 5,694.64 × 2,918.17
  4. Step 4: Simplify right side
    3,797.85x = 16,617,913.02
  5. Step 5: Solve for x
    x = 16,617,913.02/3,797.85
  6. Step 6: Final answer
    x = 4,375.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.