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Finding the Fourth Proportional to 5,850.24, 8,073.12 and 3,197.60

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Solution

The fourth proportional to 5,850.24, 8,073.12 and 3,197.60 is: 4,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.24 : 8,073.12 = 3,197.60 : x
  2. Step 2: Convert to fraction form
    5,850.24/8,073.12 = 3,197.60/x
  3. Step 3: Cross multiply
    5,850.24x = 8,073.12 × 3,197.60
  4. Step 4: Simplify right side
    5,850.24x = 25,814,608.51
  5. Step 5: Solve for x
    x = 25,814,608.51/5,850.24
  6. Step 6: Final answer
    x = 4,412.57

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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.