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Finding the Fourth Proportional to 3,992.87, 5,509.96 and 2,224.58

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Solution

The fourth proportional to 3,992.87, 5,509.96 and 2,224.58 is: 3,069.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.87 : 5,509.96 = 2,224.58 : x
  2. Step 2: Convert to fraction form
    3,992.87/5,509.96 = 2,224.58/x
  3. Step 3: Cross multiply
    3,992.87x = 5,509.96 × 2,224.58
  4. Step 4: Simplify right side
    3,992.87x = 12,257,313.71
  5. Step 5: Solve for x
    x = 12,257,313.71/3,992.87
  6. Step 6: Final answer
    x = 3,069.80

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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.