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Finding the Fourth Proportional to 3,512.51, 4,847.07 and 1,940.50

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Solution

The fourth proportional to 3,512.51, 4,847.07 and 1,940.50 is: 2,677.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.51 : 4,847.07 = 1,940.50 : x
  2. Step 2: Convert to fraction form
    3,512.51/4,847.07 = 1,940.50/x
  3. Step 3: Cross multiply
    3,512.51x = 4,847.07 × 1,940.50
  4. Step 4: Simplify right side
    3,512.51x = 9,405,739.34
  5. Step 5: Solve for x
    x = 9,405,739.34/3,512.51
  6. Step 6: Final answer
    x = 2,677.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.