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Finding the Fourth Proportional to 3,927.33, 5,889.60 and 1,294.20

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Solution

The fourth proportional to 3,927.33, 5,889.60 and 1,294.20 is: 1,940.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927.33 : 5,889.60 = 1,294.20 : x
  2. Step 2: Convert to fraction form
    3,927.33/5,889.60 = 1,294.20/x
  3. Step 3: Cross multiply
    3,927.33x = 5,889.60 × 1,294.20
  4. Step 4: Simplify right side
    3,927.33x = 7,622,320.32
  5. Step 5: Solve for x
    x = 7,622,320.32/3,927.33
  6. Step 6: Final answer
    x = 1,940.84

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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.