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Finding the Fourth Proportional to 5,846.96, 8,067.69 and 3,489.32

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Solution

The fourth proportional to 5,846.96, 8,067.69 and 3,489.32 is: 4,814.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,846.96 : 8,067.69 = 3,489.32 : x
  2. Step 2: Convert to fraction form
    5,846.96/8,067.69 = 3,489.32/x
  3. Step 3: Cross multiply
    5,846.96x = 8,067.69 × 3,489.32
  4. Step 4: Simplify right side
    5,846.96x = 28,150,752.07
  5. Step 5: Solve for x
    x = 28,150,752.07/5,846.96
  6. Step 6: Final answer
    x = 4,814.60

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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.