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Finding the Fourth Proportional to 5,971.26, 8,240.46 and 3,453.42

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Solution

The fourth proportional to 5,971.26, 8,240.46 and 3,453.42 is: 4,765.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.26 : 8,240.46 = 3,453.42 : x
  2. Step 2: Convert to fraction form
    5,971.26/8,240.46 = 3,453.42/x
  3. Step 3: Cross multiply
    5,971.26x = 8,240.46 × 3,453.42
  4. Step 4: Simplify right side
    5,971.26x = 28,457,769.37
  5. Step 5: Solve for x
    x = 28,457,769.37/5,971.26
  6. Step 6: Final answer
    x = 4,765.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.