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Finding the Fourth Proportional to 5,963.75, 8,945.97 and 2,014.65

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Solution

The fourth proportional to 5,963.75, 8,945.97 and 2,014.65 is: 3,022.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.75 : 8,945.97 = 2,014.65 : x
  2. Step 2: Convert to fraction form
    5,963.75/8,945.97 = 2,014.65/x
  3. Step 3: Cross multiply
    5,963.75x = 8,945.97 × 2,014.65
  4. Step 4: Simplify right side
    5,963.75x = 18,022,998.46
  5. Step 5: Solve for x
    x = 18,022,998.46/5,963.75
  6. Step 6: Final answer
    x = 3,022.09

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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.