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Finding the Fourth Proportional to 4,951.50, 7,427.49 and 2,758.60

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Solution

The fourth proportional to 4,951.50, 7,427.49 and 2,758.60 is: 4,138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.50 : 7,427.49 = 2,758.60 : x
  2. Step 2: Convert to fraction form
    4,951.50/7,427.49 = 2,758.60/x
  3. Step 3: Cross multiply
    4,951.50x = 7,427.49 × 2,758.60
  4. Step 4: Simplify right side
    4,951.50x = 20,489,473.91
  5. Step 5: Solve for x
    x = 20,489,473.91/4,951.50
  6. Step 6: Final answer
    x = 4,138.03

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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.