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Finding the Fourth Proportional to 3,811.71, 5,259.92 and 2,218.24

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Solution

The fourth proportional to 3,811.71, 5,259.92 and 2,218.24 is: 3,061.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.71 : 5,259.92 = 2,218.24 : x
  2. Step 2: Convert to fraction form
    3,811.71/5,259.92 = 2,218.24/x
  3. Step 3: Cross multiply
    3,811.71x = 5,259.92 × 2,218.24
  4. Step 4: Simplify right side
    3,811.71x = 11,667,764.94
  5. Step 5: Solve for x
    x = 11,667,764.94/3,811.71
  6. Step 6: Final answer
    x = 3,061.03

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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.