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Finding the Fourth Proportional to 5,860, 8,791.62 and 4,105

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Solution

The fourth proportional to 5,860, 8,791.62 and 4,105 is: 6,158.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860 : 8,791.62 = 4,105 : x
  2. Step 2: Convert to fraction form
    5,860/8,791.62 = 4,105/x
  3. Step 3: Cross multiply
    5,860x = 8,791.62 × 4,105
  4. Step 4: Simplify right side
    5,860x = 36,089,600.10
  5. Step 5: Solve for x
    x = 36,089,600.10/5,860
  6. Step 6: Final answer
    x = 6,158.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.