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Finding the Fourth Proportional to 3,584.99, 5,367.74 and 1,849.97

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Solution

The fourth proportional to 3,584.99, 5,367.74 and 1,849.97 is: 2,769.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.99 : 5,367.74 = 1,849.97 : x
  2. Step 2: Convert to fraction form
    3,584.99/5,367.74 = 1,849.97/x
  3. Step 3: Cross multiply
    3,584.99x = 5,367.74 × 1,849.97
  4. Step 4: Simplify right side
    3,584.99x = 9,930,162.14
  5. Step 5: Solve for x
    x = 9,930,162.14/3,584.99
  6. Step 6: Final answer
    x = 2,769.93

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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.