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Finding the Fourth Proportional to 6,589.44, 9,091.84 and 4,103.68

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Solution

The fourth proportional to 6,589.44, 9,091.84 and 4,103.68 is: 5,662.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589.44 : 9,091.84 = 4,103.68 : x
  2. Step 2: Convert to fraction form
    6,589.44/9,091.84 = 4,103.68/x
  3. Step 3: Cross multiply
    6,589.44x = 9,091.84 × 4,103.68
  4. Step 4: Simplify right side
    6,589.44x = 37,310,001.97
  5. Step 5: Solve for x
    x = 37,310,001.97/6,589.44
  6. Step 6: Final answer
    x = 5,662.09

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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.