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Finding the Fourth Proportional to 3,846.59, 5,757.56 and 1,995.17

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Solution

The fourth proportional to 3,846.59, 5,757.56 and 1,995.17 is: 2,986.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.59 : 5,757.56 = 1,995.17 : x
  2. Step 2: Convert to fraction form
    3,846.59/5,757.56 = 1,995.17/x
  3. Step 3: Cross multiply
    3,846.59x = 5,757.56 × 1,995.17
  4. Step 4: Simplify right side
    3,846.59x = 11,487,290.93
  5. Step 5: Solve for x
    x = 11,487,290.93/3,846.59
  6. Step 6: Final answer
    x = 2,986.36

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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.