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Finding the Fourth Proportional to 3,754.44, 5,181 and 2,075.81

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Solution

The fourth proportional to 3,754.44, 5,181 and 2,075.81 is: 2,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.44 : 5,181 = 2,075.81 : x
  2. Step 2: Convert to fraction form
    3,754.44/5,181 = 2,075.81/x
  3. Step 3: Cross multiply
    3,754.44x = 5,181 × 2,075.81
  4. Step 4: Simplify right side
    3,754.44x = 10,754,745.71
  5. Step 5: Solve for x
    x = 10,754,745.71/3,754.44
  6. Step 6: Final answer
    x = 2,864.54

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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.