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Finding the Fourth Proportional to 5,914.52, 8,162.38 and 3,396.62

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Solution

The fourth proportional to 5,914.52, 8,162.38 and 3,396.62 is: 4,687.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.52 : 8,162.38 = 3,396.62 : x
  2. Step 2: Convert to fraction form
    5,914.52/8,162.38 = 3,396.62/x
  3. Step 3: Cross multiply
    5,914.52x = 8,162.38 × 3,396.62
  4. Step 4: Simplify right side
    5,914.52x = 27,724,503.16
  5. Step 5: Solve for x
    x = 27,724,503.16/5,914.52
  6. Step 6: Final answer
    x = 4,687.53

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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.