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Finding the Fourth Proportional to 3,728.69, 5,142.90 and 2,313.19

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Solution

The fourth proportional to 3,728.69, 5,142.90 and 2,313.19 is: 3,190.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.69 : 5,142.90 = 2,313.19 : x
  2. Step 2: Convert to fraction form
    3,728.69/5,142.90 = 2,313.19/x
  3. Step 3: Cross multiply
    3,728.69x = 5,142.90 × 2,313.19
  4. Step 4: Simplify right side
    3,728.69x = 11,896,504.85
  5. Step 5: Solve for x
    x = 11,896,504.85/3,728.69
  6. Step 6: Final answer
    x = 3,190.53

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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.