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Finding the Fourth Proportional to 5,949.49, 8,214.03 and 3,825.97

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Solution

The fourth proportional to 5,949.49, 8,214.03 and 3,825.97 is: 5,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.49 : 8,214.03 = 3,825.97 : x
  2. Step 2: Convert to fraction form
    5,949.49/8,214.03 = 3,825.97/x
  3. Step 3: Cross multiply
    5,949.49x = 8,214.03 × 3,825.97
  4. Step 4: Simplify right side
    5,949.49x = 31,426,632.36
  5. Step 5: Solve for x
    x = 31,426,632.36/5,949.49
  6. Step 6: Final answer
    x = 5,282.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.