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Finding the Fourth Proportional to 3,997.91, 5,996.03 and 1,075.52

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Solution

The fourth proportional to 3,997.91, 5,996.03 and 1,075.52 is: 1,613.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.91 : 5,996.03 = 1,075.52 : x
  2. Step 2: Convert to fraction form
    3,997.91/5,996.03 = 1,075.52/x
  3. Step 3: Cross multiply
    3,997.91x = 5,996.03 × 1,075.52
  4. Step 4: Simplify right side
    3,997.91x = 6,448,814.83
  5. Step 5: Solve for x
    x = 6,448,814.83/3,997.91
  6. Step 6: Final answer
    x = 1,613.05

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Why These Related Problems?

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