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Finding the Fourth Proportional to 3,992.81, 5,510.31 and 2,224.46

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Solution

The fourth proportional to 3,992.81, 5,510.31 and 2,224.46 is: 3,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.81 : 5,510.31 = 2,224.46 : x
  2. Step 2: Convert to fraction form
    3,992.81/5,510.31 = 2,224.46/x
  3. Step 3: Cross multiply
    3,992.81x = 5,510.31 × 2,224.46
  4. Step 4: Simplify right side
    3,992.81x = 12,257,464.18
  5. Step 5: Solve for x
    x = 12,257,464.18/3,992.81
  6. Step 6: Final answer
    x = 3,069.88

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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.