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Finding the Fourth Proportional to 5,942.88, 8,193.41 and 3,700.87

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Solution

The fourth proportional to 5,942.88, 8,193.41 and 3,700.87 is: 5,102.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.88 : 8,193.41 = 3,700.87 : x
  2. Step 2: Convert to fraction form
    5,942.88/8,193.41 = 3,700.87/x
  3. Step 3: Cross multiply
    5,942.88x = 8,193.41 × 3,700.87
  4. Step 4: Simplify right side
    5,942.88x = 30,322,745.27
  5. Step 5: Solve for x
    x = 30,322,745.27/5,942.88
  6. Step 6: Final answer
    x = 5,102.37

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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.