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Finding the Fourth Proportional to 4,190.70, 6,287.85 and 2,138.70

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Solution

The fourth proportional to 4,190.70, 6,287.85 and 2,138.70 is: 3,208.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190.70 : 6,287.85 = 2,138.70 : x
  2. Step 2: Convert to fraction form
    4,190.70/6,287.85 = 2,138.70/x
  3. Step 3: Cross multiply
    4,190.70x = 6,287.85 × 2,138.70
  4. Step 4: Simplify right side
    4,190.70x = 13,447,824.80
  5. Step 5: Solve for x
    x = 13,447,824.80/4,190.70
  6. Step 6: Final answer
    x = 3,208.97

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