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Finding the Fourth Proportional to 3,997.42, 5,995.68 and 1,075.96

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Solution

The fourth proportional to 3,997.42, 5,995.68 and 1,075.96 is: 1,613.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.42 : 5,995.68 = 1,075.96 : x
  2. Step 2: Convert to fraction form
    3,997.42/5,995.68 = 1,075.96/x
  3. Step 3: Cross multiply
    3,997.42x = 5,995.68 × 1,075.96
  4. Step 4: Simplify right side
    3,997.42x = 6,451,111.85
  5. Step 5: Solve for x
    x = 6,451,111.85/3,997.42
  6. Step 6: Final answer
    x = 1,613.82

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1.5x scale

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.