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Finding the Fourth Proportional to 3,997.53, 5,996.30 and 1,075.86

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Solution

The fourth proportional to 3,997.53, 5,996.30 and 1,075.86 is: 1,613.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.53 : 5,996.30 = 1,075.86 : x
  2. Step 2: Convert to fraction form
    3,997.53/5,996.30 = 1,075.86/x
  3. Step 3: Cross multiply
    3,997.53x = 5,996.30 × 1,075.86
  4. Step 4: Simplify right side
    3,997.53x = 6,451,173.94
  5. Step 5: Solve for x
    x = 6,451,173.94/3,997.53
  6. Step 6: Final answer
    x = 1,613.79

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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.