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Finding the Fourth Proportional to 3,871.22, 5,806.90 and 949.54

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Solution

The fourth proportional to 3,871.22, 5,806.90 and 949.54 is: 1,424.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.22 : 5,806.90 = 949.54 : x
  2. Step 2: Convert to fraction form
    3,871.22/5,806.90 = 949.54/x
  3. Step 3: Cross multiply
    3,871.22x = 5,806.90 × 949.54
  4. Step 4: Simplify right side
    3,871.22x = 5,513,883.83
  5. Step 5: Solve for x
    x = 5,513,883.83/3,871.22
  6. Step 6: Final answer
    x = 1,424.33

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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.