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Finding the Fourth Proportional to 3,997.62, 5,996.30 and 1,075.82

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Solution

The fourth proportional to 3,997.62, 5,996.30 and 1,075.82 is: 1,613.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.62 : 5,996.30 = 1,075.82 : x
  2. Step 2: Convert to fraction form
    3,997.62/5,996.30 = 1,075.82/x
  3. Step 3: Cross multiply
    3,997.62x = 5,996.30 × 1,075.82
  4. Step 4: Simplify right side
    3,997.62x = 6,450,904.11
  5. Step 5: Solve for x
    x = 6,450,904.11/3,997.62
  6. Step 6: Final answer
    x = 1,613.69

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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.