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Finding the Fourth Proportional to 3,827.72, 5,741.63 and 2,182.31

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Solution

The fourth proportional to 3,827.72, 5,741.63 and 2,182.31 is: 3,273.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.72 : 5,741.63 = 2,182.31 : x
  2. Step 2: Convert to fraction form
    3,827.72/5,741.63 = 2,182.31/x
  3. Step 3: Cross multiply
    3,827.72x = 5,741.63 × 2,182.31
  4. Step 4: Simplify right side
    3,827.72x = 12,529,976.95
  5. Step 5: Solve for x
    x = 12,529,976.95/3,827.72
  6. Step 6: Final answer
    x = 3,273.49

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Why These Related Problems?

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