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Finding the Fourth Proportional to 5,817.21, 8,028.08 and 3,164.55

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Solution

The fourth proportional to 5,817.21, 8,028.08 and 3,164.55 is: 4,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.21 : 8,028.08 = 3,164.55 : x
  2. Step 2: Convert to fraction form
    5,817.21/8,028.08 = 3,164.55/x
  3. Step 3: Cross multiply
    5,817.21x = 8,028.08 × 3,164.55
  4. Step 4: Simplify right side
    5,817.21x = 25,405,244.74
  5. Step 5: Solve for x
    x = 25,405,244.74/5,817.21
  6. Step 6: Final answer
    x = 4,367.26

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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.