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Finding the Fourth Proportional to 3,662.24, 5,052.44 and 2,169.60

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Solution

The fourth proportional to 3,662.24, 5,052.44 and 2,169.60 is: 2,993.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.24 : 5,052.44 = 2,169.60 : x
  2. Step 2: Convert to fraction form
    3,662.24/5,052.44 = 2,169.60/x
  3. Step 3: Cross multiply
    3,662.24x = 5,052.44 × 2,169.60
  4. Step 4: Simplify right side
    3,662.24x = 10,961,773.82
  5. Step 5: Solve for x
    x = 10,961,773.82/3,662.24
  6. Step 6: Final answer
    x = 2,993.19

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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.