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Finding the Fourth Proportional to 3,914.44, 5,866.12 and 2,061.80

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Solution

The fourth proportional to 3,914.44, 5,866.12 and 2,061.80 is: 3,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914.44 : 5,866.12 = 2,061.80 : x
  2. Step 2: Convert to fraction form
    3,914.44/5,866.12 = 2,061.80/x
  3. Step 3: Cross multiply
    3,914.44x = 5,866.12 × 2,061.80
  4. Step 4: Simplify right side
    3,914.44x = 12,094,766.22
  5. Step 5: Solve for x
    x = 12,094,766.22/3,914.44
  6. Step 6: Final answer
    x = 3,089.78

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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.