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Finding the Fourth Proportional to 5,086.58, 7,629.07 and 1,968.03

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Solution

The fourth proportional to 5,086.58, 7,629.07 and 1,968.03 is: 2,951.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,086.58 : 7,629.07 = 1,968.03 : x
  2. Step 2: Convert to fraction form
    5,086.58/7,629.07 = 1,968.03/x
  3. Step 3: Cross multiply
    5,086.58x = 7,629.07 × 1,968.03
  4. Step 4: Simplify right side
    5,086.58x = 15,014,238.63
  5. Step 5: Solve for x
    x = 15,014,238.63/5,086.58
  6. Step 6: Final answer
    x = 2,951.74

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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.