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Finding the Fourth Proportional to 3,806.82, 5,706.32 and 1,728.27

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Solution

The fourth proportional to 3,806.82, 5,706.32 and 1,728.27 is: 2,590.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.82 : 5,706.32 = 1,728.27 : x
  2. Step 2: Convert to fraction form
    3,806.82/5,706.32 = 1,728.27/x
  3. Step 3: Cross multiply
    3,806.82x = 5,706.32 × 1,728.27
  4. Step 4: Simplify right side
    3,806.82x = 9,862,053.03
  5. Step 5: Solve for x
    x = 9,862,053.03/3,806.82
  6. Step 6: Final answer
    x = 2,590.63

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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.