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Finding the Fourth Proportional to 3,992.85, 5,510.16 and 2,224.53

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Solution

The fourth proportional to 3,992.85, 5,510.16 and 2,224.53 is: 3,069.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.85 : 5,510.16 = 2,224.53 : x
  2. Step 2: Convert to fraction form
    3,992.85/5,510.16 = 2,224.53/x
  3. Step 3: Cross multiply
    3,992.85x = 5,510.16 × 2,224.53
  4. Step 4: Simplify right side
    3,992.85x = 12,257,516.22
  5. Step 5: Solve for x
    x = 12,257,516.22/3,992.85
  6. Step 6: Final answer
    x = 3,069.87

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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.