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Finding the Fourth Proportional to 5,215.52, 7,804.80 and 3,825.44

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Solution

The fourth proportional to 5,215.52, 7,804.80 and 3,825.44 is: 5,724.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,215.52 : 7,804.80 = 3,825.44 : x
  2. Step 2: Convert to fraction form
    5,215.52/7,804.80 = 3,825.44/x
  3. Step 3: Cross multiply
    5,215.52x = 7,804.80 × 3,825.44
  4. Step 4: Simplify right side
    5,215.52x = 29,856,794.11
  5. Step 5: Solve for x
    x = 29,856,794.11/5,215.52
  6. Step 6: Final answer
    x = 5,724.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.