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Finding the Fourth Proportional to 3,992.64, 5,969.25 and 3,383.16

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Solution

The fourth proportional to 3,992.64, 5,969.25 and 3,383.16 is: 5,058.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.64 : 5,969.25 = 3,383.16 : x
  2. Step 2: Convert to fraction form
    3,992.64/5,969.25 = 3,383.16/x
  3. Step 3: Cross multiply
    3,992.64x = 5,969.25 × 3,383.16
  4. Step 4: Simplify right side
    3,992.64x = 20,194,927.83
  5. Step 5: Solve for x
    x = 20,194,927.83/3,992.64
  6. Step 6: Final answer
    x = 5,058.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.