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Finding the Fourth Proportional to 4,002.22, 5,522.22 and 2,323.42

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Solution

The fourth proportional to 4,002.22, 5,522.22 and 2,323.42 is: 3,205.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.22 : 5,522.22 = 2,323.42 : x
  2. Step 2: Convert to fraction form
    4,002.22/5,522.22 = 2,323.42/x
  3. Step 3: Cross multiply
    4,002.22x = 5,522.22 × 2,323.42
  4. Step 4: Simplify right side
    4,002.22x = 12,830,436.39
  5. Step 5: Solve for x
    x = 12,830,436.39/4,002.22
  6. Step 6: Final answer
    x = 3,205.83

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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.