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Finding the Fourth Proportional to 3,512.70, 5,269.14 and 1,172.62

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Solution

The fourth proportional to 3,512.70, 5,269.14 and 1,172.62 is: 1,758.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.70 : 5,269.14 = 1,172.62 : x
  2. Step 2: Convert to fraction form
    3,512.70/5,269.14 = 1,172.62/x
  3. Step 3: Cross multiply
    3,512.70x = 5,269.14 × 1,172.62
  4. Step 4: Simplify right side
    3,512.70x = 6,178,694.86
  5. Step 5: Solve for x
    x = 6,178,694.86/3,512.70
  6. Step 6: Final answer
    x = 1,758.96

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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.