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Finding the Fourth Proportional to 5,131.31, 7,696.96 and 3,963.01

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Solution

The fourth proportional to 5,131.31, 7,696.96 and 3,963.01 is: 5,944.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,131.31 : 7,696.96 = 3,963.01 : x
  2. Step 2: Convert to fraction form
    5,131.31/7,696.96 = 3,963.01/x
  3. Step 3: Cross multiply
    5,131.31x = 7,696.96 × 3,963.01
  4. Step 4: Simplify right side
    5,131.31x = 30,503,129.45
  5. Step 5: Solve for x
    x = 30,503,129.45/5,131.31
  6. Step 6: Final answer
    x = 5,944.51

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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.