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Finding the Fourth Proportional to 3,172.01, 4,757.25 and 1,197.83

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Solution

The fourth proportional to 3,172.01, 4,757.25 and 1,197.83 is: 1,796.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.01 : 4,757.25 = 1,197.83 : x
  2. Step 2: Convert to fraction form
    3,172.01/4,757.25 = 1,197.83/x
  3. Step 3: Cross multiply
    3,172.01x = 4,757.25 × 1,197.83
  4. Step 4: Simplify right side
    3,172.01x = 5,698,352.98
  5. Step 5: Solve for x
    x = 5,698,352.98/3,172.01
  6. Step 6: Final answer
    x = 1,796.45

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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.