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Finding the Fourth Proportional to 5,678.31, 7,837.16 and 3,194.31

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Solution

The fourth proportional to 5,678.31, 7,837.16 and 3,194.31 is: 4,408.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678.31 : 7,837.16 = 3,194.31 : x
  2. Step 2: Convert to fraction form
    5,678.31/7,837.16 = 3,194.31/x
  3. Step 3: Cross multiply
    5,678.31x = 7,837.16 × 3,194.31
  4. Step 4: Simplify right side
    5,678.31x = 25,034,318.56
  5. Step 5: Solve for x
    x = 25,034,318.56/5,678.31
  6. Step 6: Final answer
    x = 4,408.76

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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.