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Finding the Fourth Proportional to 3,380.21, 5,069.61 and 914.45

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Solution

The fourth proportional to 3,380.21, 5,069.61 and 914.45 is: 1,371.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.21 : 5,069.61 = 914.45 : x
  2. Step 2: Convert to fraction form
    3,380.21/5,069.61 = 914.45/x
  3. Step 3: Cross multiply
    3,380.21x = 5,069.61 × 914.45
  4. Step 4: Simplify right side
    3,380.21x = 4,635,879.52
  5. Step 5: Solve for x
    x = 4,635,879.52/3,380.21
  6. Step 6: Final answer
    x = 1,371.48

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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.