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Finding the Fourth Proportional to 5,704.27, 7,871.33 and 3,313.62

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Solution

The fourth proportional to 5,704.27, 7,871.33 and 3,313.62 is: 4,572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.27 : 7,871.33 = 3,313.62 : x
  2. Step 2: Convert to fraction form
    5,704.27/7,871.33 = 3,313.62/x
  3. Step 3: Cross multiply
    5,704.27x = 7,871.33 × 3,313.62
  4. Step 4: Simplify right side
    5,704.27x = 26,082,604.80
  5. Step 5: Solve for x
    x = 26,082,604.80/5,704.27
  6. Step 6: Final answer
    x = 4,572.47

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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.