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Finding the Fourth Proportional to 3,172.64, 4,757.74 and 1,324.62

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Solution

The fourth proportional to 3,172.64, 4,757.74 and 1,324.62 is: 1,986.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.64 : 4,757.74 = 1,324.62 : x
  2. Step 2: Convert to fraction form
    3,172.64/4,757.74 = 1,324.62/x
  3. Step 3: Cross multiply
    3,172.64x = 4,757.74 × 1,324.62
  4. Step 4: Simplify right side
    3,172.64x = 6,302,194.25
  5. Step 5: Solve for x
    x = 6,302,194.25/3,172.64
  6. Step 6: Final answer
    x = 1,986.42

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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.