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Finding the Fourth Proportional to 3,893.01, 5,836.23 and 1,811.96

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Solution

The fourth proportional to 3,893.01, 5,836.23 and 1,811.96 is: 2,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.01 : 5,836.23 = 1,811.96 : x
  2. Step 2: Convert to fraction form
    3,893.01/5,836.23 = 1,811.96/x
  3. Step 3: Cross multiply
    3,893.01x = 5,836.23 × 1,811.96
  4. Step 4: Simplify right side
    3,893.01x = 10,574,986.13
  5. Step 5: Solve for x
    x = 10,574,986.13/3,893.01
  6. Step 6: Final answer
    x = 2,716.40

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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.