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Finding the Fourth Proportional to 3,771.94, 5,205.30 and 2,093.46

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Solution

The fourth proportional to 3,771.94, 5,205.30 and 2,093.46 is: 2,888.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,771.94 : 5,205.30 = 2,093.46 : x
  2. Step 2: Convert to fraction form
    3,771.94/5,205.30 = 2,093.46/x
  3. Step 3: Cross multiply
    3,771.94x = 5,205.30 × 2,093.46
  4. Step 4: Simplify right side
    3,771.94x = 10,897,087.34
  5. Step 5: Solve for x
    x = 10,897,087.34/3,771.94
  6. Step 6: Final answer
    x = 2,888.99

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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.