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Finding the Fourth Proportional to 3,997.30, 5,995.86 and 1,075.64

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Solution

The fourth proportional to 3,997.30, 5,995.86 and 1,075.64 is: 1,613.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.30 : 5,995.86 = 1,075.64 : x
  2. Step 2: Convert to fraction form
    3,997.30/5,995.86 = 1,075.64/x
  3. Step 3: Cross multiply
    3,997.30x = 5,995.86 × 1,075.64
  4. Step 4: Simplify right side
    3,997.30x = 6,449,386.85
  5. Step 5: Solve for x
    x = 6,449,386.85/3,997.30
  6. Step 6: Final answer
    x = 1,613.44

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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.