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Finding the Fourth Proportional to 3,469.32, 5,205.15 and 1,522.80

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Solution

The fourth proportional to 3,469.32, 5,205.15 and 1,522.80 is: 2,284.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.32 : 5,205.15 = 1,522.80 : x
  2. Step 2: Convert to fraction form
    3,469.32/5,205.15 = 1,522.80/x
  3. Step 3: Cross multiply
    3,469.32x = 5,205.15 × 1,522.80
  4. Step 4: Simplify right side
    3,469.32x = 7,926,402.42
  5. Step 5: Solve for x
    x = 7,926,402.42/3,469.32
  6. Step 6: Final answer
    x = 2,284.71

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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.