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Finding the Fourth Proportional to 4,632.75, 6,949.22 and 2,166.21

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Solution

The fourth proportional to 4,632.75, 6,949.22 and 2,166.21 is: 3,249.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,632.75 : 6,949.22 = 2,166.21 : x
  2. Step 2: Convert to fraction form
    4,632.75/6,949.22 = 2,166.21/x
  3. Step 3: Cross multiply
    4,632.75x = 6,949.22 × 2,166.21
  4. Step 4: Simplify right side
    4,632.75x = 15,053,459.03
  5. Step 5: Solve for x
    x = 15,053,459.03/4,632.75
  6. Step 6: Final answer
    x = 3,249.36

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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.