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Finding the Fourth Proportional to 3,511.31, 5,266.97 and 914.25

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Solution

The fourth proportional to 3,511.31, 5,266.97 and 914.25 is: 1,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.31 : 5,266.97 = 914.25 : x
  2. Step 2: Convert to fraction form
    3,511.31/5,266.97 = 914.25/x
  3. Step 3: Cross multiply
    3,511.31x = 5,266.97 × 914.25
  4. Step 4: Simplify right side
    3,511.31x = 4,815,327.32
  5. Step 5: Solve for x
    x = 4,815,327.32/3,511.31
  6. Step 6: Final answer
    x = 1,371.38

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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.