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Finding the Fourth Proportional to 5,717.93, 7,884.14 and 4,198.59

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Solution

The fourth proportional to 5,717.93, 7,884.14 and 4,198.59 is: 5,789.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.93 : 7,884.14 = 4,198.59 : x
  2. Step 2: Convert to fraction form
    5,717.93/7,884.14 = 4,198.59/x
  3. Step 3: Cross multiply
    5,717.93x = 7,884.14 × 4,198.59
  4. Step 4: Simplify right side
    5,717.93x = 33,102,250.37
  5. Step 5: Solve for x
    x = 33,102,250.37/5,717.93
  6. Step 6: Final answer
    x = 5,789.21

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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.