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Finding the Fourth Proportional to 5,935.07, 8,197.12 and 4,043.37

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Solution

The fourth proportional to 5,935.07, 8,197.12 and 4,043.37 is: 5,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.07 : 8,197.12 = 4,043.37 : x
  2. Step 2: Convert to fraction form
    5,935.07/8,197.12 = 4,043.37/x
  3. Step 3: Cross multiply
    5,935.07x = 8,197.12 × 4,043.37
  4. Step 4: Simplify right side
    5,935.07x = 33,143,989.09
  5. Step 5: Solve for x
    x = 33,143,989.09/5,935.07
  6. Step 6: Final answer
    x = 5,584.43

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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.