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Finding the Fourth Proportional to 3,992.87, 5,510.17 and 2,224.47

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Solution

The fourth proportional to 3,992.87, 5,510.17 and 2,224.47 is: 3,069.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.87 : 5,510.17 = 2,224.47 : x
  2. Step 2: Convert to fraction form
    3,992.87/5,510.17 = 2,224.47/x
  3. Step 3: Cross multiply
    3,992.87x = 5,510.17 × 2,224.47
  4. Step 4: Simplify right side
    3,992.87x = 12,257,207.86
  5. Step 5: Solve for x
    x = 12,257,207.86/3,992.87
  6. Step 6: Final answer
    x = 3,069.77

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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.