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Finding the Fourth Proportional to 3,992.53, 5,509.34 and 2,224.10

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Solution

The fourth proportional to 3,992.53, 5,509.34 and 2,224.10 is: 3,069.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.53 : 5,509.34 = 2,224.10 : x
  2. Step 2: Convert to fraction form
    3,992.53/5,509.34 = 2,224.10/x
  3. Step 3: Cross multiply
    3,992.53x = 5,509.34 × 2,224.10
  4. Step 4: Simplify right side
    3,992.53x = 12,253,323.09
  5. Step 5: Solve for x
    x = 12,253,323.09/3,992.53
  6. Step 6: Final answer
    x = 3,069.06

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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.