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Finding the Fourth Proportional to 6,116.91, 8,441.33 and 3,464.48

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Solution

The fourth proportional to 6,116.91, 8,441.33 and 3,464.48 is: 4,780.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,116.91 : 8,441.33 = 3,464.48 : x
  2. Step 2: Convert to fraction form
    6,116.91/8,441.33 = 3,464.48/x
  3. Step 3: Cross multiply
    6,116.91x = 8,441.33 × 3,464.48
  4. Step 4: Simplify right side
    6,116.91x = 29,244,759.43
  5. Step 5: Solve for x
    x = 29,244,759.43/6,116.91
  6. Step 6: Final answer
    x = 4,780.97

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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.