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Finding the Fourth Proportional to 3,172.58, 4,760.24 and 1,324.06

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Solution

The fourth proportional to 3,172.58, 4,760.24 and 1,324.06 is: 1,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.58 : 4,760.24 = 1,324.06 : x
  2. Step 2: Convert to fraction form
    3,172.58/4,760.24 = 1,324.06/x
  3. Step 3: Cross multiply
    3,172.58x = 4,760.24 × 1,324.06
  4. Step 4: Simplify right side
    3,172.58x = 6,302,824.85
  5. Step 5: Solve for x
    x = 6,302,824.85/3,172.58
  6. Step 6: Final answer
    x = 1,986.65

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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.