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Finding the Fourth Proportional to 3,731.75, 5,149.82 and 2,075.75

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Solution

The fourth proportional to 3,731.75, 5,149.82 and 2,075.75 is: 2,864.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.75 : 5,149.82 = 2,075.75 : x
  2. Step 2: Convert to fraction form
    3,731.75/5,149.82 = 2,075.75/x
  3. Step 3: Cross multiply
    3,731.75x = 5,149.82 × 2,075.75
  4. Step 4: Simplify right side
    3,731.75x = 10,689,738.87
  5. Step 5: Solve for x
    x = 10,689,738.87/3,731.75
  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.