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Finding the Fourth Proportional to 5,935.97, 8,191.09 and 3,283.32

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Solution

The fourth proportional to 5,935.97, 8,191.09 and 3,283.32 is: 4,530.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,935.97 : 8,191.09 = 3,283.32 : x
  2. Step 2: Convert to fraction form
    5,935.97/8,191.09 = 3,283.32/x
  3. Step 3: Cross multiply
    5,935.97x = 8,191.09 × 3,283.32
  4. Step 4: Simplify right side
    5,935.97x = 26,893,961.41
  5. Step 5: Solve for x
    x = 26,893,961.41/5,935.97
  6. Step 6: Final answer
    x = 4,530.68

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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.