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Finding the Fourth Proportional to 3,211.27, 4,815.96 and 1,361.37

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Solution

The fourth proportional to 3,211.27, 4,815.96 and 1,361.37 is: 2,041.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.27 : 4,815.96 = 1,361.37 : x
  2. Step 2: Convert to fraction form
    3,211.27/4,815.96 = 1,361.37/x
  3. Step 3: Cross multiply
    3,211.27x = 4,815.96 × 1,361.37
  4. Step 4: Simplify right side
    3,211.27x = 6,556,303.47
  5. Step 5: Solve for x
    x = 6,556,303.47/3,211.27
  6. Step 6: Final answer
    x = 2,041.65

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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.