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Finding the Fourth Proportional to 5,914.64, 8,161.83 and 3,394.97

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Solution

The fourth proportional to 5,914.64, 8,161.83 and 3,394.97 is: 4,684.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.64 : 8,161.83 = 3,394.97 : x
  2. Step 2: Convert to fraction form
    5,914.64/8,161.83 = 3,394.97/x
  3. Step 3: Cross multiply
    5,914.64x = 8,161.83 × 3,394.97
  4. Step 4: Simplify right side
    5,914.64x = 27,709,151.02
  5. Step 5: Solve for x
    x = 27,709,151.02/5,914.64
  6. Step 6: Final answer
    x = 4,684.85

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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.