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Finding the Fourth Proportional to 3,212.75, 4,437.24 and 2,162.99

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Solution

The fourth proportional to 3,212.75, 4,437.24 and 2,162.99 is: 2,987.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.75 : 4,437.24 = 2,162.99 : x
  2. Step 2: Convert to fraction form
    3,212.75/4,437.24 = 2,162.99/x
  3. Step 3: Cross multiply
    3,212.75x = 4,437.24 × 2,162.99
  4. Step 4: Simplify right side
    3,212.75x = 9,597,705.75
  5. Step 5: Solve for x
    x = 9,597,705.75/3,212.75
  6. Step 6: Final answer
    x = 2,987.38

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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.