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Finding the Fourth Proportional to 5,816.84, 8,029.86 and 3,828.44

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Solution

The fourth proportional to 5,816.84, 8,029.86 and 3,828.44 is: 5,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.84 : 8,029.86 = 3,828.44 : x
  2. Step 2: Convert to fraction form
    5,816.84/8,029.86 = 3,828.44/x
  3. Step 3: Cross multiply
    5,816.84x = 8,029.86 × 3,828.44
  4. Step 4: Simplify right side
    5,816.84x = 30,741,837.22
  5. Step 5: Solve for x
    x = 30,741,837.22/5,816.84
  6. Step 6: Final answer
    x = 5,284.97

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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.