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Finding the Fourth Proportional to 5,969.43, 8,241.54 and 3,846.02

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Solution

The fourth proportional to 5,969.43, 8,241.54 and 3,846.02 is: 5,309.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,969.43 : 8,241.54 = 3,846.02 : x
  2. Step 2: Convert to fraction form
    5,969.43/8,241.54 = 3,846.02/x
  3. Step 3: Cross multiply
    5,969.43x = 8,241.54 × 3,846.02
  4. Step 4: Simplify right side
    5,969.43x = 31,697,086.46
  5. Step 5: Solve for x
    x = 31,697,086.46/5,969.43
  6. Step 6: Final answer
    x = 5,309.90

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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.