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Finding the Fourth Proportional to 3,854.25, 5,776.50 and 3,212.73

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Solution

The fourth proportional to 3,854.25, 5,776.50 and 3,212.73 is: 4,815.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.25 : 5,776.50 = 3,212.73 : x
  2. Step 2: Convert to fraction form
    3,854.25/5,776.50 = 3,212.73/x
  3. Step 3: Cross multiply
    3,854.25x = 5,776.50 × 3,212.73
  4. Step 4: Simplify right side
    3,854.25x = 18,558,305.96
  5. Step 5: Solve for x
    x = 18,558,305.96/3,854.25
  6. Step 6: Final answer
    x = 4,815.03

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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.