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Finding the Fourth Proportional to 3,770.97, 5,658.32 and 2,522.39

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Solution

The fourth proportional to 3,770.97, 5,658.32 and 2,522.39 is: 3,784.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.97 : 5,658.32 = 2,522.39 : x
  2. Step 2: Convert to fraction form
    3,770.97/5,658.32 = 2,522.39/x
  3. Step 3: Cross multiply
    3,770.97x = 5,658.32 × 2,522.39
  4. Step 4: Simplify right side
    3,770.97x = 14,272,467.80
  5. Step 5: Solve for x
    x = 14,272,467.80/3,770.97
  6. Step 6: Final answer
    x = 3,784.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.