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Finding the Fourth Proportional to 3,824.80, 5,694.73 and 3,803.20

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Solution

The fourth proportional to 3,824.80, 5,694.73 and 3,803.20 is: 5,662.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,824.80 : 5,694.73 = 3,803.20 : x
  2. Step 2: Convert to fraction form
    3,824.80/5,694.73 = 3,803.20/x
  3. Step 3: Cross multiply
    3,824.80x = 5,694.73 × 3,803.20
  4. Step 4: Simplify right side
    3,824.80x = 21,658,197.14
  5. Step 5: Solve for x
    x = 21,658,197.14/3,824.80
  6. Step 6: Final answer
    x = 5,662.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.