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Finding the Fourth Proportional to 4,757.67, 7,137.51 and 1,796.05

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Solution

The fourth proportional to 4,757.67, 7,137.51 and 1,796.05 is: 2,694.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.67 : 7,137.51 = 1,796.05 : x
  2. Step 2: Convert to fraction form
    4,757.67/7,137.51 = 1,796.05/x
  3. Step 3: Cross multiply
    4,757.67x = 7,137.51 × 1,796.05
  4. Step 4: Simplify right side
    4,757.67x = 12,819,324.84
  5. Step 5: Solve for x
    x = 12,819,324.84/4,757.67
  6. Step 6: Final answer
    x = 2,694.45

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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.