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Finding the Fourth Proportional to 4,183.50, 5,768.42 and 3,929.24

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Solution

The fourth proportional to 4,183.50, 5,768.42 and 3,929.24 is: 5,417.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,183.50 : 5,768.42 = 3,929.24 : x
  2. Step 2: Convert to fraction form
    4,183.50/5,768.42 = 3,929.24/x
  3. Step 3: Cross multiply
    4,183.50x = 5,768.42 × 3,929.24
  4. Step 4: Simplify right side
    4,183.50x = 22,665,506.60
  5. Step 5: Solve for x
    x = 22,665,506.60/4,183.50
  6. Step 6: Final answer
    x = 5,417.83

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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.