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Finding the Fourth Proportional to 5,678.44, 7,835.46 and 3,194.44

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Solution

The fourth proportional to 5,678.44, 7,835.46 and 3,194.44 is: 4,407.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.44 : 7,835.46 = 3,194.44 : x
  2. Step 2: Convert to fraction form
    5,678.44/7,835.46 = 3,194.44/x
  3. Step 3: Cross multiply
    5,678.44x = 7,835.46 × 3,194.44
  4. Step 4: Simplify right side
    5,678.44x = 25,029,906.84
  5. Step 5: Solve for x
    x = 25,029,906.84/5,678.44
  6. Step 6: Final answer
    x = 4,407.88

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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.