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Finding the Fourth Proportional to 3,846.28, 5,761.84 and 3,576.28

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Solution

The fourth proportional to 3,846.28, 5,761.84 and 3,576.28 is: 5,357.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.28 : 5,761.84 = 3,576.28 : x
  2. Step 2: Convert to fraction form
    3,846.28/5,761.84 = 3,576.28/x
  3. Step 3: Cross multiply
    3,846.28x = 5,761.84 × 3,576.28
  4. Step 4: Simplify right side
    3,846.28x = 20,605,953.16
  5. Step 5: Solve for x
    x = 20,605,953.16/3,846.28
  6. Step 6: Final answer
    x = 5,357.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.