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Finding the Fourth Proportional to 3,772.69, 5,211.30 and 3,145.27

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Solution

The fourth proportional to 3,772.69, 5,211.30 and 3,145.27 is: 4,344.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.69 : 5,211.30 = 3,145.27 : x
  2. Step 2: Convert to fraction form
    3,772.69/5,211.30 = 3,145.27/x
  3. Step 3: Cross multiply
    3,772.69x = 5,211.30 × 3,145.27
  4. Step 4: Simplify right side
    3,772.69x = 16,390,945.55
  5. Step 5: Solve for x
    x = 16,390,945.55/3,772.69
  6. Step 6: Final answer
    x = 4,344.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.