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Finding the Fourth Proportional to 6,205.38, 8,564.73 and 3,935.25

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Solution

The fourth proportional to 6,205.38, 8,564.73 and 3,935.25 is: 5,431.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,205.38 : 8,564.73 = 3,935.25 : x
  2. Step 2: Convert to fraction form
    6,205.38/8,564.73 = 3,935.25/x
  3. Step 3: Cross multiply
    6,205.38x = 8,564.73 × 3,935.25
  4. Step 4: Simplify right side
    6,205.38x = 33,704,353.73
  5. Step 5: Solve for x
    x = 33,704,353.73/6,205.38
  6. Step 6: Final answer
    x = 5,431.47

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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.