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Finding the Fourth Proportional to 3,283.56, 4,933.50 and 2,914.92

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Solution

The fourth proportional to 3,283.56, 4,933.50 and 2,914.92 is: 4,379.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,283.56 : 4,933.50 = 2,914.92 : x
  2. Step 2: Convert to fraction form
    3,283.56/4,933.50 = 2,914.92/x
  3. Step 3: Cross multiply
    3,283.56x = 4,933.50 × 2,914.92
  4. Step 4: Simplify right side
    3,283.56x = 14,380,757.82
  5. Step 5: Solve for x
    x = 14,380,757.82/3,283.56
  6. Step 6: Final answer
    x = 4,379.62

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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.