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Finding the Fourth Proportional to 3,709.97, 5,119.44 and 2,383.64

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Solution

The fourth proportional to 3,709.97, 5,119.44 and 2,383.64 is: 3,289.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.97 : 5,119.44 = 2,383.64 : x
  2. Step 2: Convert to fraction form
    3,709.97/5,119.44 = 2,383.64/x
  3. Step 3: Cross multiply
    3,709.97x = 5,119.44 × 2,383.64
  4. Step 4: Simplify right side
    3,709.97x = 12,202,901.96
  5. Step 5: Solve for x
    x = 12,202,901.96/3,709.97
  6. Step 6: Final answer
    x = 3,289.22

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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.