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Finding the Fourth Proportional to 5,189.66, 7,163.81 and 3,202.22

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Solution

The fourth proportional to 5,189.66, 7,163.81 and 3,202.22 is: 4,420.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.66 : 7,163.81 = 3,202.22 : x
  2. Step 2: Convert to fraction form
    5,189.66/7,163.81 = 3,202.22/x
  3. Step 3: Cross multiply
    5,189.66x = 7,163.81 × 3,202.22
  4. Step 4: Simplify right side
    5,189.66x = 22,940,095.66
  5. Step 5: Solve for x
    x = 22,940,095.66/5,189.66
  6. Step 6: Final answer
    x = 4,420.35

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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.