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Finding the Fourth Proportional to 3,512.62, 5,268.21 and 1,321.30

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Solution

The fourth proportional to 3,512.62, 5,268.21 and 1,321.30 is: 1,981.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.62 : 5,268.21 = 1,321.30 : x
  2. Step 2: Convert to fraction form
    3,512.62/5,268.21 = 1,321.30/x
  3. Step 3: Cross multiply
    3,512.62x = 5,268.21 × 1,321.30
  4. Step 4: Simplify right side
    3,512.62x = 6,960,885.87
  5. Step 5: Solve for x
    x = 6,960,885.87/3,512.62
  6. Step 6: Final answer
    x = 1,981.68

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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.