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Finding the Fourth Proportional to 3,377.02, 5,065.78 and 911.80

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Solution

The fourth proportional to 3,377.02, 5,065.78 and 911.80 is: 1,367.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.02 : 5,065.78 = 911.80 : x
  2. Step 2: Convert to fraction form
    3,377.02/5,065.78 = 911.80/x
  3. Step 3: Cross multiply
    3,377.02x = 5,065.78 × 911.80
  4. Step 4: Simplify right side
    3,377.02x = 4,618,995.58
  5. Step 5: Solve for x
    x = 4,618,995.58/3,377.02
  6. Step 6: Final answer
    x = 1,367.77

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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.