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Finding the Fourth Proportional to 3,834.98, 5,754.68 and 1,496.60

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Solution

The fourth proportional to 3,834.98, 5,754.68 and 1,496.60 is: 2,245.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.98 : 5,754.68 = 1,496.60 : x
  2. Step 2: Convert to fraction form
    3,834.98/5,754.68 = 1,496.60/x
  3. Step 3: Cross multiply
    3,834.98x = 5,754.68 × 1,496.60
  4. Step 4: Simplify right side
    3,834.98x = 8,612,454.09
  5. Step 5: Solve for x
    x = 8,612,454.09/3,834.98
  6. Step 6: Final answer
    x = 2,245.76

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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.