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Finding the Fourth Proportional to 3,309.75, 4,961.27 and 2,078.03

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Solution

The fourth proportional to 3,309.75, 4,961.27 and 2,078.03 is: 3,114.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.75 : 4,961.27 = 2,078.03 : x
  2. Step 2: Convert to fraction form
    3,309.75/4,961.27 = 2,078.03/x
  3. Step 3: Cross multiply
    3,309.75x = 4,961.27 × 2,078.03
  4. Step 4: Simplify right side
    3,309.75x = 10,309,685.50
  5. Step 5: Solve for x
    x = 10,309,685.50/3,309.75
  6. Step 6: Final answer
    x = 3,114.94

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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.