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Finding the Fourth Proportional to 4,313.49, 6,474.76 and 3,823.03

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Solution

The fourth proportional to 4,313.49, 6,474.76 and 3,823.03 is: 5,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,313.49 : 6,474.76 = 3,823.03 : x
  2. Step 2: Convert to fraction form
    4,313.49/6,474.76 = 3,823.03/x
  3. Step 3: Cross multiply
    4,313.49x = 6,474.76 × 3,823.03
  4. Step 4: Simplify right side
    4,313.49x = 24,753,201.72
  5. Step 5: Solve for x
    x = 24,753,201.72/4,313.49
  6. Step 6: Final answer
    x = 5,738.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.