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Finding the Fourth Proportional to 5,891.36, 8,129.77 and 3,238.86

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Solution

The fourth proportional to 5,891.36, 8,129.77 and 3,238.86 is: 4,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,891.36 : 8,129.77 = 3,238.86 : x
  2. Step 2: Convert to fraction form
    5,891.36/8,129.77 = 3,238.86/x
  3. Step 3: Cross multiply
    5,891.36x = 8,129.77 × 3,238.86
  4. Step 4: Simplify right side
    5,891.36x = 26,331,148.28
  5. Step 5: Solve for x
    x = 26,331,148.28/5,891.36
  6. Step 6: Final answer
    x = 4,469.45

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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.