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Finding the Fourth Proportional to 4,163.42, 5,745.34 and 2,274.98

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Solution

The fourth proportional to 4,163.42, 5,745.34 and 2,274.98 is: 3,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,163.42 : 5,745.34 = 2,274.98 : x
  2. Step 2: Convert to fraction form
    4,163.42/5,745.34 = 2,274.98/x
  3. Step 3: Cross multiply
    4,163.42x = 5,745.34 × 2,274.98
  4. Step 4: Simplify right side
    4,163.42x = 13,070,510.55
  5. Step 5: Solve for x
    x = 13,070,510.55/4,163.42
  6. Step 6: Final answer
    x = 3,139.37

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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.