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Finding the Fourth Proportional to 5,596.27, 7,722.75 and 3,827.82

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Solution

The fourth proportional to 5,596.27, 7,722.75 and 3,827.82 is: 5,282.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,596.27 : 7,722.75 = 3,827.82 : x
  2. Step 2: Convert to fraction form
    5,596.27/7,722.75 = 3,827.82/x
  3. Step 3: Cross multiply
    5,596.27x = 7,722.75 × 3,827.82
  4. Step 4: Simplify right side
    5,596.27x = 29,561,296.91
  5. Step 5: Solve for x
    x = 29,561,296.91/5,596.27
  6. Step 6: Final answer
    x = 5,282.32

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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.