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Finding the Fourth Proportional to 3,827.72, 5,282.32 and 2,149.22

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Solution

The fourth proportional to 3,827.72, 5,282.32 and 2,149.22 is: 2,965.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.72 : 5,282.32 = 2,149.22 : x
  2. Step 2: Convert to fraction form
    3,827.72/5,282.32 = 2,149.22/x
  3. Step 3: Cross multiply
    3,827.72x = 5,282.32 × 2,149.22
  4. Step 4: Simplify right side
    3,827.72x = 11,352,867.79
  5. Step 5: Solve for x
    x = 11,352,867.79/3,827.72
  6. Step 6: Final answer
    x = 2,965.96

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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.