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Finding the Fourth Proportional to 3,894.57, 5,367.47 and 3,231.45

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Solution

The fourth proportional to 3,894.57, 5,367.47 and 3,231.45 is: 4,453.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.57 : 5,367.47 = 3,231.45 : x
  2. Step 2: Convert to fraction form
    3,894.57/5,367.47 = 3,231.45/x
  3. Step 3: Cross multiply
    3,894.57x = 5,367.47 × 3,231.45
  4. Step 4: Simplify right side
    3,894.57x = 17,344,694.77
  5. Step 5: Solve for x
    x = 17,344,694.77/3,894.57
  6. Step 6: Final answer
    x = 4,453.56

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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.