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Finding the Fourth Proportional to 5,757.18, 7,945.04 and 3,204.96

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Solution

The fourth proportional to 5,757.18, 7,945.04 and 3,204.96 is: 4,422.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,757.18 : 7,945.04 = 3,204.96 : x
  2. Step 2: Convert to fraction form
    5,757.18/7,945.04 = 3,204.96/x
  3. Step 3: Cross multiply
    5,757.18x = 7,945.04 × 3,204.96
  4. Step 4: Simplify right side
    5,757.18x = 25,463,535.40
  5. Step 5: Solve for x
    x = 25,463,535.40/5,757.18
  6. Step 6: Final answer
    x = 4,422.92

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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.