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Finding the Fourth Proportional to 3,723.56, 5,141.97 and 2,399.56

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Solution

The fourth proportional to 3,723.56, 5,141.97 and 2,399.56 is: 3,313.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,723.56 : 5,141.97 = 2,399.56 : x
  2. Step 2: Convert to fraction form
    3,723.56/5,141.97 = 2,399.56/x
  3. Step 3: Cross multiply
    3,723.56x = 5,141.97 × 2,399.56
  4. Step 4: Simplify right side
    3,723.56x = 12,338,465.53
  5. Step 5: Solve for x
    x = 12,338,465.53/3,723.56
  6. Step 6: Final answer
    x = 3,313.62

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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.