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Finding the Fourth Proportional to 6,834.03, 10,257.42 and 3,549.42

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Solution

The fourth proportional to 6,834.03, 10,257.42 and 3,549.42 is: 5,327.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.03 : 10,257.42 = 3,549.42 : x
  2. Step 2: Convert to fraction form
    6,834.03/10,257.42 = 3,549.42/x
  3. Step 3: Cross multiply
    6,834.03x = 10,257.42 × 3,549.42
  4. Step 4: Simplify right side
    6,834.03x = 36,407,891.70
  5. Step 5: Solve for x
    x = 36,407,891.70/6,834.03
  6. Step 6: Final answer
    x = 5,327.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.