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Finding the Fourth Proportional to 3,754.62, 5,181.41 and 2,075.94

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Solution

The fourth proportional to 3,754.62, 5,181.41 and 2,075.94 is: 2,864.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.62 : 5,181.41 = 2,075.94 : x
  2. Step 2: Convert to fraction form
    3,754.62/5,181.41 = 2,075.94/x
  3. Step 3: Cross multiply
    3,754.62x = 5,181.41 × 2,075.94
  4. Step 4: Simplify right side
    3,754.62x = 10,756,296.28
  5. Step 5: Solve for x
    x = 10,756,296.28/3,754.62
  6. Step 6: Final answer
    x = 2,864.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.