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Finding the Fourth Proportional to 3,862.39, 5,793.84 and 1,914.07

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Solution

The fourth proportional to 3,862.39, 5,793.84 and 1,914.07 is: 2,871.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.39 : 5,793.84 = 1,914.07 : x
  2. Step 2: Convert to fraction form
    3,862.39/5,793.84 = 1,914.07/x
  3. Step 3: Cross multiply
    3,862.39x = 5,793.84 × 1,914.07
  4. Step 4: Simplify right side
    3,862.39x = 11,089,815.33
  5. Step 5: Solve for x
    x = 11,089,815.33/3,862.39
  6. Step 6: Final answer
    x = 2,871.23

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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.