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Finding the Fourth Proportional to 3,380.56, 5,070.82 and 1,821.30

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Solution

The fourth proportional to 3,380.56, 5,070.82 and 1,821.30 is: 2,731.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.56 : 5,070.82 = 1,821.30 : x
  2. Step 2: Convert to fraction form
    3,380.56/5,070.82 = 1,821.30/x
  3. Step 3: Cross multiply
    3,380.56x = 5,070.82 × 1,821.30
  4. Step 4: Simplify right side
    3,380.56x = 9,235,484.47
  5. Step 5: Solve for x
    x = 9,235,484.47/3,380.56
  6. Step 6: Final answer
    x = 2,731.94

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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.