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Finding the Fourth Proportional to 5,679.31, 7,837.38 and 3,161.38

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Solution

The fourth proportional to 5,679.31, 7,837.38 and 3,161.38 is: 4,362.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.31 : 7,837.38 = 3,161.38 : x
  2. Step 2: Convert to fraction form
    5,679.31/7,837.38 = 3,161.38/x
  3. Step 3: Cross multiply
    5,679.31x = 7,837.38 × 3,161.38
  4. Step 4: Simplify right side
    5,679.31x = 24,776,936.38
  5. Step 5: Solve for x
    x = 24,776,936.38/5,679.31
  6. Step 6: Final answer
    x = 4,362.67

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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.