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Finding the Fourth Proportional to 3,992.57, 5,509.92 and 2,224.18

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Solution

The fourth proportional to 3,992.57, 5,509.92 and 2,224.18 is: 3,069.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.57 : 5,509.92 = 2,224.18 : x
  2. Step 2: Convert to fraction form
    3,992.57/5,509.92 = 2,224.18/x
  3. Step 3: Cross multiply
    3,992.57x = 5,509.92 × 2,224.18
  4. Step 4: Simplify right side
    3,992.57x = 12,255,053.87
  5. Step 5: Solve for x
    x = 12,255,053.87/3,992.57
  6. Step 6: Final answer
    x = 3,069.46

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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.