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Finding the Fourth Proportional to 6,194.38, 8,544.64 and 3,834.84

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Solution

The fourth proportional to 6,194.38, 8,544.64 and 3,834.84 is: 5,289.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,194.38 : 8,544.64 = 3,834.84 : x
  2. Step 2: Convert to fraction form
    6,194.38/8,544.64 = 3,834.84/x
  3. Step 3: Cross multiply
    6,194.38x = 8,544.64 × 3,834.84
  4. Step 4: Simplify right side
    6,194.38x = 32,767,327.26
  5. Step 5: Solve for x
    x = 32,767,327.26/6,194.38
  6. Step 6: Final answer
    x = 5,289.85

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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.