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Finding the Fourth Proportional to 4,016.50, 6,027.99 and 2,069.26

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Solution

The fourth proportional to 4,016.50, 6,027.99 and 2,069.26 is: 3,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,016.50 : 6,027.99 = 2,069.26 : x
  2. Step 2: Convert to fraction form
    4,016.50/6,027.99 = 2,069.26/x
  3. Step 3: Cross multiply
    4,016.50x = 6,027.99 × 2,069.26
  4. Step 4: Simplify right side
    4,016.50x = 12,473,478.59
  5. Step 5: Solve for x
    x = 12,473,478.59/4,016.50
  6. Step 6: Final answer
    x = 3,105.56

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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.