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Finding the Fourth Proportional to 5,817.49, 8,028.17 and 3,164.89

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Solution

The fourth proportional to 5,817.49, 8,028.17 and 3,164.89 is: 4,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.49 : 8,028.17 = 3,164.89 : x
  2. Step 2: Convert to fraction form
    5,817.49/8,028.17 = 3,164.89/x
  3. Step 3: Cross multiply
    5,817.49x = 8,028.17 × 3,164.89
  4. Step 4: Simplify right side
    5,817.49x = 25,408,274.95
  5. Step 5: Solve for x
    x = 25,408,274.95/5,817.49
  6. Step 6: Final answer
    x = 4,367.57

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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.