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Finding the Fourth Proportional to 3,805.94, 5,711.07 and 1,614.44

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Solution

The fourth proportional to 3,805.94, 5,711.07 and 1,614.44 is: 2,422.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.94 : 5,711.07 = 1,614.44 : x
  2. Step 2: Convert to fraction form
    3,805.94/5,711.07 = 1,614.44/x
  3. Step 3: Cross multiply
    3,805.94x = 5,711.07 × 1,614.44
  4. Step 4: Simplify right side
    3,805.94x = 9,220,179.85
  5. Step 5: Solve for x
    x = 9,220,179.85/3,805.94
  6. Step 6: Final answer
    x = 2,422.58

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1.5x scale

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.