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Finding the Fourth Proportional to 3,627, 5,436.42 and 1,983

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Solution

The fourth proportional to 3,627, 5,436.42 and 1,983 is: 2,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627 : 5,436.42 = 1,983 : x
  2. Step 2: Convert to fraction form
    3,627/5,436.42 = 1,983/x
  3. Step 3: Cross multiply
    3,627x = 5,436.42 × 1,983
  4. Step 4: Simplify right side
    3,627x = 10,780,420.86
  5. Step 5: Solve for x
    x = 10,780,420.86/3,627
  6. Step 6: Final answer
    x = 2,972.27

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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.