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Finding the Fourth Proportional to 5,919.82, 8,169.81 and 3,267.46

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Solution

The fourth proportional to 5,919.82, 8,169.81 and 3,267.46 is: 4,509.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,919.82 : 8,169.81 = 3,267.46 : x
  2. Step 2: Convert to fraction form
    5,919.82/8,169.81 = 3,267.46/x
  3. Step 3: Cross multiply
    5,919.82x = 8,169.81 × 3,267.46
  4. Step 4: Simplify right side
    5,919.82x = 26,694,527.38
  5. Step 5: Solve for x
    x = 26,694,527.38/5,919.82
  6. Step 6: Final answer
    x = 4,509.35

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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.