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Finding the Fourth Proportional to 5,222.42, 7,202.06 and 4,163.70

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Solution

The fourth proportional to 5,222.42, 7,202.06 and 4,163.70 is: 5,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,222.42 : 7,202.06 = 4,163.70 : x
  2. Step 2: Convert to fraction form
    5,222.42/7,202.06 = 4,163.70/x
  3. Step 3: Cross multiply
    5,222.42x = 7,202.06 × 4,163.70
  4. Step 4: Simplify right side
    5,222.42x = 29,987,217.22
  5. Step 5: Solve for x
    x = 29,987,217.22/5,222.42
  6. Step 6: Final answer
    x = 5,742.02

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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.