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Finding the Fourth Proportional to 4,238.79, 5,850.26 and 2,471.27

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Solution

The fourth proportional to 4,238.79, 5,850.26 and 2,471.27 is: 3,410.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.79 : 5,850.26 = 2,471.27 : x
  2. Step 2: Convert to fraction form
    4,238.79/5,850.26 = 2,471.27/x
  3. Step 3: Cross multiply
    4,238.79x = 5,850.26 × 2,471.27
  4. Step 4: Simplify right side
    4,238.79x = 14,457,572.03
  5. Step 5: Solve for x
    x = 14,457,572.03/4,238.79
  6. Step 6: Final answer
    x = 3,410.78

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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.