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Finding the Fourth Proportional to 3,222.84, 4,447.68 and 2,523

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Solution

The fourth proportional to 3,222.84, 4,447.68 and 2,523 is: 3,481.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,222.84 : 4,447.68 = 2,523 : x
  2. Step 2: Convert to fraction form
    3,222.84/4,447.68 = 2,523/x
  3. Step 3: Cross multiply
    3,222.84x = 4,447.68 × 2,523
  4. Step 4: Simplify right side
    3,222.84x = 11,221,496.64
  5. Step 5: Solve for x
    x = 11,221,496.64/3,222.84
  6. Step 6: Final answer
    x = 3,481.87

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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.