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Finding the Fourth Proportional to 3,997.19, 5,995.33 and 1,075.27

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Solution

The fourth proportional to 3,997.19, 5,995.33 and 1,075.27 is: 1,612.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.19 : 5,995.33 = 1,075.27 : x
  2. Step 2: Convert to fraction form
    3,997.19/5,995.33 = 1,075.27/x
  3. Step 3: Cross multiply
    3,997.19x = 5,995.33 × 1,075.27
  4. Step 4: Simplify right side
    3,997.19x = 6,446,580.81
  5. Step 5: Solve for x
    x = 6,446,580.81/3,997.19
  6. Step 6: Final answer
    x = 1,612.78

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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.