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Finding the Fourth Proportional to 3,997.82, 5,996.05 and 1,075.47

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Solution

The fourth proportional to 3,997.82, 5,996.05 and 1,075.47 is: 1,613.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.82 : 5,996.05 = 1,075.47 : x
  2. Step 2: Convert to fraction form
    3,997.82/5,996.05 = 1,075.47/x
  3. Step 3: Cross multiply
    3,997.82x = 5,996.05 × 1,075.47
  4. Step 4: Simplify right side
    3,997.82x = 6,448,569.20
  5. Step 5: Solve for x
    x = 6,448,569.20/3,997.82
  6. Step 6: Final answer
    x = 1,613.02

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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.