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Finding the Fourth Proportional to 3,983, 5,969.56 and 2,522.56

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Solution

The fourth proportional to 3,983, 5,969.56 and 2,522.56 is: 3,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983 : 5,969.56 = 2,522.56 : x
  2. Step 2: Convert to fraction form
    3,983/5,969.56 = 2,522.56/x
  3. Step 3: Cross multiply
    3,983x = 5,969.56 × 2,522.56
  4. Step 4: Simplify right side
    3,983x = 15,058,573.27
  5. Step 5: Solve for x
    x = 15,058,573.27/3,983
  6. Step 6: Final answer
    x = 3,780.71

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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.