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Finding the Fourth Proportional to 3,797.92, 5,697.04 and 1,201.04

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Solution

The fourth proportional to 3,797.92, 5,697.04 and 1,201.04 is: 1,801.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.92 : 5,697.04 = 1,201.04 : x
  2. Step 2: Convert to fraction form
    3,797.92/5,697.04 = 1,201.04/x
  3. Step 3: Cross multiply
    3,797.92x = 5,697.04 × 1,201.04
  4. Step 4: Simplify right side
    3,797.92x = 6,842,372.92
  5. Step 5: Solve for x
    x = 6,842,372.92/3,797.92
  6. Step 6: Final answer
    x = 1,801.61

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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.