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Finding the Fourth Proportional to 3,377.03, 5,065.83 and 911.84

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Solution

The fourth proportional to 3,377.03, 5,065.83 and 911.84 is: 1,367.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.03 : 5,065.83 = 911.84 : x
  2. Step 2: Convert to fraction form
    3,377.03/5,065.83 = 911.84/x
  3. Step 3: Cross multiply
    3,377.03x = 5,065.83 × 911.84
  4. Step 4: Simplify right side
    3,377.03x = 4,619,201.10
  5. Step 5: Solve for x
    x = 4,619,201.10/3,377.03
  6. Step 6: Final answer
    x = 1,367.83

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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.