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Finding the Fourth Proportional to 5,164.68, 7,127.16 and 2,806.80

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Solution

The fourth proportional to 5,164.68, 7,127.16 and 2,806.80 is: 3,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.68 : 7,127.16 = 2,806.80 : x
  2. Step 2: Convert to fraction form
    5,164.68/7,127.16 = 2,806.80/x
  3. Step 3: Cross multiply
    5,164.68x = 7,127.16 × 2,806.80
  4. Step 4: Simplify right side
    5,164.68x = 20,004,512.69
  5. Step 5: Solve for x
    x = 20,004,512.69/5,164.68
  6. Step 6: Final answer
    x = 3,873.33

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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.