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Finding the Fourth Proportional to 3,394.96, 5,093.66 and 1,447.31

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Solution

The fourth proportional to 3,394.96, 5,093.66 and 1,447.31 is: 2,171.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,394.96 : 5,093.66 = 1,447.31 : x
  2. Step 2: Convert to fraction form
    3,394.96/5,093.66 = 1,447.31/x
  3. Step 3: Cross multiply
    3,394.96x = 5,093.66 × 1,447.31
  4. Step 4: Simplify right side
    3,394.96x = 7,372,121.41
  5. Step 5: Solve for x
    x = 7,372,121.41/3,394.96
  6. Step 6: Final answer
    x = 2,171.49

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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.