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Finding the Fourth Proportional to 3,172.68, 4,760.22 and 1,325.04

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Solution

The fourth proportional to 3,172.68, 4,760.22 and 1,325.04 is: 1,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,172.68 : 4,760.22 = 1,325.04 : x
  2. Step 2: Convert to fraction form
    3,172.68/4,760.22 = 1,325.04/x
  3. Step 3: Cross multiply
    3,172.68x = 4,760.22 × 1,325.04
  4. Step 4: Simplify right side
    3,172.68x = 6,307,481.91
  5. Step 5: Solve for x
    x = 6,307,481.91/3,172.68
  6. Step 6: Final answer
    x = 1,988.06

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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.