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Finding the Fourth Proportional to 3,380.59, 5,072.79 and 1,820.56

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Solution

The fourth proportional to 3,380.59, 5,072.79 and 1,820.56 is: 2,731.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.59 : 5,072.79 = 1,820.56 : x
  2. Step 2: Convert to fraction form
    3,380.59/5,072.79 = 1,820.56/x
  3. Step 3: Cross multiply
    3,380.59x = 5,072.79 × 1,820.56
  4. Step 4: Simplify right side
    3,380.59x = 9,235,305.88
  5. Step 5: Solve for x
    x = 9,235,305.88/3,380.59
  6. Step 6: Final answer
    x = 2,731.86

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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.