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Finding the Fourth Proportional to 3,522.56, 5,284.74 and 1,331.30

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Solution

The fourth proportional to 3,522.56, 5,284.74 and 1,331.30 is: 1,997.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.56 : 5,284.74 = 1,331.30 : x
  2. Step 2: Convert to fraction form
    3,522.56/5,284.74 = 1,331.30/x
  3. Step 3: Cross multiply
    3,522.56x = 5,284.74 × 1,331.30
  4. Step 4: Simplify right side
    3,522.56x = 7,035,592.57
  5. Step 5: Solve for x
    x = 7,035,592.57/3,522.56
  6. Step 6: Final answer
    x = 1,997.30

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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.