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Finding the Fourth Proportional to 6,131.86, 8,464.40 and 3,894.97

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Solution

The fourth proportional to 6,131.86, 8,464.40 and 3,894.97 is: 5,376.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.86 : 8,464.40 = 3,894.97 : x
  2. Step 2: Convert to fraction form
    6,131.86/8,464.40 = 3,894.97/x
  3. Step 3: Cross multiply
    6,131.86x = 8,464.40 × 3,894.97
  4. Step 4: Simplify right side
    6,131.86x = 32,968,584.07
  5. Step 5: Solve for x
    x = 32,968,584.07/6,131.86
  6. Step 6: Final answer
    x = 5,376.60

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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.