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Finding the Fourth Proportional to 3,871.72, 5,343.42 and 2,299.81

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Solution

The fourth proportional to 3,871.72, 5,343.42 and 2,299.81 is: 3,174.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.72 : 5,343.42 = 2,299.81 : x
  2. Step 2: Convert to fraction form
    3,871.72/5,343.42 = 2,299.81/x
  3. Step 3: Cross multiply
    3,871.72x = 5,343.42 × 2,299.81
  4. Step 4: Simplify right side
    3,871.72x = 12,288,850.75
  5. Step 5: Solve for x
    x = 12,288,850.75/3,871.72
  6. Step 6: Final answer
    x = 3,174.00

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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.