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Finding the Fourth Proportional to 3,375.07, 4,659.83 and 2,198.14

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Solution

The fourth proportional to 3,375.07, 4,659.83 and 2,198.14 is: 3,034.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,375.07 : 4,659.83 = 2,198.14 : x
  2. Step 2: Convert to fraction form
    3,375.07/4,659.83 = 2,198.14/x
  3. Step 3: Cross multiply
    3,375.07x = 4,659.83 × 2,198.14
  4. Step 4: Simplify right side
    3,375.07x = 10,242,944.32
  5. Step 5: Solve for x
    x = 10,242,944.32/3,375.07
  6. Step 6: Final answer
    x = 3,034.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.