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Finding the Fourth Proportional to 4,674.67, 6,448.17 and 3,183.26

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Solution

The fourth proportional to 4,674.67, 6,448.17 and 3,183.26 is: 4,390.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.67 : 6,448.17 = 3,183.26 : x
  2. Step 2: Convert to fraction form
    4,674.67/6,448.17 = 3,183.26/x
  3. Step 3: Cross multiply
    4,674.67x = 6,448.17 × 3,183.26
  4. Step 4: Simplify right side
    4,674.67x = 20,526,181.33
  5. Step 5: Solve for x
    x = 20,526,181.33/4,674.67
  6. Step 6: Final answer
    x = 4,390.94

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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.