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Finding the Fourth Proportional to 3,493.81, 5,213.48 and 3,183.31

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Solution

The fourth proportional to 3,493.81, 5,213.48 and 3,183.31 is: 4,750.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493.81 : 5,213.48 = 3,183.31 : x
  2. Step 2: Convert to fraction form
    3,493.81/5,213.48 = 3,183.31/x
  3. Step 3: Cross multiply
    3,493.81x = 5,213.48 × 3,183.31
  4. Step 4: Simplify right side
    3,493.81x = 16,596,123.02
  5. Step 5: Solve for x
    x = 16,596,123.02/3,493.81
  6. Step 6: Final answer
    x = 4,750.15

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.