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Finding the Fourth Proportional to 3,731.44, 5,149.44 and 2,075.44

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Solution

The fourth proportional to 3,731.44, 5,149.44 and 2,075.44 is: 2,864.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,731.44 : 5,149.44 = 2,075.44 : x
  2. Step 2: Convert to fraction form
    3,731.44/5,149.44 = 2,075.44/x
  3. Step 3: Cross multiply
    3,731.44x = 5,149.44 × 2,075.44
  4. Step 4: Simplify right side
    3,731.44x = 10,687,353.75
  5. Step 5: Solve for x
    x = 10,687,353.75/3,731.44
  6. Step 6: Final answer
    x = 2,864.14

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1.5x scale

Why These Related Problems?

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