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Finding the Fourth Proportional to 3,223, 4,447.74 and 1,825.84

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Solution

The fourth proportional to 3,223, 4,447.74 and 1,825.84 is: 2,519.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223 : 4,447.74 = 1,825.84 : x
  2. Step 2: Convert to fraction form
    3,223/4,447.74 = 1,825.84/x
  3. Step 3: Cross multiply
    3,223x = 4,447.74 × 1,825.84
  4. Step 4: Simplify right side
    3,223x = 8,120,861.60
  5. Step 5: Solve for x
    x = 8,120,861.60/3,223
  6. Step 6: Final answer
    x = 2,519.66

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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.