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Finding the Fourth Proportional to 3,183.67, 4,394.72 and 3,099.84

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Solution

The fourth proportional to 3,183.67, 4,394.72 and 3,099.84 is: 4,279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.67 : 4,394.72 = 3,099.84 : x
  2. Step 2: Convert to fraction form
    3,183.67/4,394.72 = 3,099.84/x
  3. Step 3: Cross multiply
    3,183.67x = 4,394.72 × 3,099.84
  4. Step 4: Simplify right side
    3,183.67x = 13,622,920.11
  5. Step 5: Solve for x
    x = 13,622,920.11/3,183.67
  6. Step 6: Final answer
    x = 4,279.00

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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.