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Finding the Fourth Proportional to 3,827.92, 5,282.63 and 2,149.46

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Solution

The fourth proportional to 3,827.92, 5,282.63 and 2,149.46 is: 2,966.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.92 : 5,282.63 = 2,149.46 : x
  2. Step 2: Convert to fraction form
    3,827.92/5,282.63 = 2,149.46/x
  3. Step 3: Cross multiply
    3,827.92x = 5,282.63 × 2,149.46
  4. Step 4: Simplify right side
    3,827.92x = 11,354,801.88
  5. Step 5: Solve for x
    x = 11,354,801.88/3,827.92
  6. Step 6: Final answer
    x = 2,966.31

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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.