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Finding the Fourth Proportional to 5,832.11, 8,005.25 and 5,188.55

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Solution

The fourth proportional to 5,832.11, 8,005.25 and 5,188.55 is: 7,121.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.11 : 8,005.25 = 5,188.55 : x
  2. Step 2: Convert to fraction form
    5,832.11/8,005.25 = 5,188.55/x
  3. Step 3: Cross multiply
    5,832.11x = 8,005.25 × 5,188.55
  4. Step 4: Simplify right side
    5,832.11x = 41,535,573.92
  5. Step 5: Solve for x
    x = 41,535,573.92/5,832.11
  6. Step 6: Final answer
    x = 7,121.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.