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Finding the Fourth Proportional to 3,522.78, 5,282.43 and 1,331.69

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Solution

The fourth proportional to 3,522.78, 5,282.43 and 1,331.69 is: 1,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.78 : 5,282.43 = 1,331.69 : x
  2. Step 2: Convert to fraction form
    3,522.78/5,282.43 = 1,331.69/x
  3. Step 3: Cross multiply
    3,522.78x = 5,282.43 × 1,331.69
  4. Step 4: Simplify right side
    3,522.78x = 7,034,532.79
  5. Step 5: Solve for x
    x = 7,034,532.79/3,522.78
  6. Step 6: Final answer
    x = 1,996.87

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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.