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Finding the Fourth Proportional to 3,659, 5,049.69 and 2,262.02

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Solution

The fourth proportional to 3,659, 5,049.69 and 2,262.02 is: 3,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,659 : 5,049.69 = 2,262.02 : x
  2. Step 2: Convert to fraction form
    3,659/5,049.69 = 2,262.02/x
  3. Step 3: Cross multiply
    3,659x = 5,049.69 × 2,262.02
  4. Step 4: Simplify right side
    3,659x = 11,422,499.77
  5. Step 5: Solve for x
    x = 11,422,499.77/3,659
  6. Step 6: Final answer
    x = 3,121.75

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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.