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Finding the Fourth Proportional to 5,817.15, 8,027.64 and 3,164.54

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Solution

The fourth proportional to 5,817.15, 8,027.64 and 3,164.54 is: 4,367.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.15 : 8,027.64 = 3,164.54 : x
  2. Step 2: Convert to fraction form
    5,817.15/8,027.64 = 3,164.54/x
  3. Step 3: Cross multiply
    5,817.15x = 8,027.64 × 3,164.54
  4. Step 4: Simplify right side
    5,817.15x = 25,403,747.75
  5. Step 5: Solve for x
    x = 25,403,747.75/5,817.15
  6. Step 6: Final answer
    x = 4,367.04

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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.