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Finding the Fourth Proportional to 4,636.44, 6,919.83 and 4,008.96

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Solution

The fourth proportional to 4,636.44, 6,919.83 and 4,008.96 is: 5,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.44 : 6,919.83 = 4,008.96 : x
  2. Step 2: Convert to fraction form
    4,636.44/6,919.83 = 4,008.96/x
  3. Step 3: Cross multiply
    4,636.44x = 6,919.83 × 4,008.96
  4. Step 4: Simplify right side
    4,636.44x = 27,741,321.68
  5. Step 5: Solve for x
    x = 27,741,321.68/4,636.44
  6. Step 6: Final answer
    x = 5,983.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.