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Finding the Fourth Proportional to 3,512.81, 5,269.48 and 1,321.49

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Solution

The fourth proportional to 3,512.81, 5,269.48 and 1,321.49 is: 1,982.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.81 : 5,269.48 = 1,321.49 : x
  2. Step 2: Convert to fraction form
    3,512.81/5,269.48 = 1,321.49/x
  3. Step 3: Cross multiply
    3,512.81x = 5,269.48 × 1,321.49
  4. Step 4: Simplify right side
    3,512.81x = 6,963,538.78
  5. Step 5: Solve for x
    x = 6,963,538.78/3,512.81
  6. Step 6: Final answer
    x = 1,982.33

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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.