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Finding the Fourth Proportional to 5,971.14, 8,240.67 and 3,453.39

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Solution

The fourth proportional to 5,971.14, 8,240.67 and 3,453.39 is: 4,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.14 : 8,240.67 = 3,453.39 : x
  2. Step 2: Convert to fraction form
    5,971.14/8,240.67 = 3,453.39/x
  3. Step 3: Cross multiply
    5,971.14x = 8,240.67 × 3,453.39
  4. Step 4: Simplify right side
    5,971.14x = 28,458,247.37
  5. Step 5: Solve for x
    x = 28,458,247.37/5,971.14
  6. Step 6: Final answer
    x = 4,765.97

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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.