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Finding the Fourth Proportional to 3,797.97, 5,699.49 and 1,459.91

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Solution

The fourth proportional to 3,797.97, 5,699.49 and 1,459.91 is: 2,190.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.97 : 5,699.49 = 1,459.91 : x
  2. Step 2: Convert to fraction form
    3,797.97/5,699.49 = 1,459.91/x
  3. Step 3: Cross multiply
    3,797.97x = 5,699.49 × 1,459.91
  4. Step 4: Simplify right side
    3,797.97x = 8,320,706.65
  5. Step 5: Solve for x
    x = 8,320,706.65/3,797.97
  6. Step 6: Final answer
    x = 2,190.83

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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.