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Finding the Fourth Proportional to 5,850.14, 8,073.20 and 3,197.54

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Solution

The fourth proportional to 5,850.14, 8,073.20 and 3,197.54 is: 4,412.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.14 : 8,073.20 = 3,197.54 : x
  2. Step 2: Convert to fraction form
    5,850.14/8,073.20 = 3,197.54/x
  3. Step 3: Cross multiply
    5,850.14x = 8,073.20 × 3,197.54
  4. Step 4: Simplify right side
    5,850.14x = 25,814,408.10
  5. Step 5: Solve for x
    x = 25,814,408.10/5,850.14
  6. Step 6: Final answer
    x = 4,412.61

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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.