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Finding the Fourth Proportional to 5,227.30, 7,840.74 and 1,940.32

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Solution

The fourth proportional to 5,227.30, 7,840.74 and 1,940.32 is: 2,910.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,227.30 : 7,840.74 = 1,940.32 : x
  2. Step 2: Convert to fraction form
    5,227.30/7,840.74 = 1,940.32/x
  3. Step 3: Cross multiply
    5,227.30x = 7,840.74 × 1,940.32
  4. Step 4: Simplify right side
    5,227.30x = 15,213,544.64
  5. Step 5: Solve for x
    x = 15,213,544.64/5,227.30
  6. Step 6: Final answer
    x = 2,910.40

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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.