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Finding the Fourth Proportional to 3,806.02, 5,708.80 and 1,467.14

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Solution

The fourth proportional to 3,806.02, 5,708.80 and 1,467.14 is: 2,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.02 : 5,708.80 = 1,467.14 : x
  2. Step 2: Convert to fraction form
    3,806.02/5,708.80 = 1,467.14/x
  3. Step 3: Cross multiply
    3,806.02x = 5,708.80 × 1,467.14
  4. Step 4: Simplify right side
    3,806.02x = 8,375,608.83
  5. Step 5: Solve for x
    x = 8,375,608.83/3,806.02
  6. Step 6: Final answer
    x = 2,200.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.