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Finding the Fourth Proportional to 3,522.42, 5,284.34 and 1,331.17

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Solution

The fourth proportional to 3,522.42, 5,284.34 and 1,331.17 is: 1,997.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,522.42 : 5,284.34 = 1,331.17 : x
  2. Step 2: Convert to fraction form
    3,522.42/5,284.34 = 1,331.17/x
  3. Step 3: Cross multiply
    3,522.42x = 5,284.34 × 1,331.17
  4. Step 4: Simplify right side
    3,522.42x = 7,034,340.00
  5. Step 5: Solve for x
    x = 7,034,340.00/3,522.42
  6. Step 6: Final answer
    x = 1,997.02

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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.