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Finding the Fourth Proportional to 5,850.86, 8,078.42 and 3,615.80

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Solution

The fourth proportional to 5,850.86, 8,078.42 and 3,615.80 is: 4,992.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.86 : 8,078.42 = 3,615.80 : x
  2. Step 2: Convert to fraction form
    5,850.86/8,078.42 = 3,615.80/x
  3. Step 3: Cross multiply
    5,850.86x = 8,078.42 × 3,615.80
  4. Step 4: Simplify right side
    5,850.86x = 29,209,932.96
  5. Step 5: Solve for x
    x = 29,209,932.96/5,850.86
  6. Step 6: Final answer
    x = 4,992.42

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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.