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Finding the Fourth Proportional to 4,334.14, 5,978.48 and 3,198.68

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Solution

The fourth proportional to 4,334.14, 5,978.48 and 3,198.68 is: 4,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,334.14 : 5,978.48 = 3,198.68 : x
  2. Step 2: Convert to fraction form
    4,334.14/5,978.48 = 3,198.68/x
  3. Step 3: Cross multiply
    4,334.14x = 5,978.48 × 3,198.68
  4. Step 4: Simplify right side
    4,334.14x = 19,123,198.52
  5. Step 5: Solve for x
    x = 19,123,198.52/4,334.14
  6. Step 6: Final answer
    x = 4,412.23

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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.