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Finding the Fourth Proportional to 6,519.38, 8,996.67 and 3,535.16

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Solution

The fourth proportional to 6,519.38, 8,996.67 and 3,535.16 is: 4,878.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,519.38 : 8,996.67 = 3,535.16 : x
  2. Step 2: Convert to fraction form
    6,519.38/8,996.67 = 3,535.16/x
  3. Step 3: Cross multiply
    6,519.38x = 8,996.67 × 3,535.16
  4. Step 4: Simplify right side
    6,519.38x = 31,804,667.92
  5. Step 5: Solve for x
    x = 31,804,667.92/6,519.38
  6. Step 6: Final answer
    x = 4,878.48

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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.