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Finding the Fourth Proportional to 3,852.45, 5,778.83 and 1,079.21

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Solution

The fourth proportional to 3,852.45, 5,778.83 and 1,079.21 is: 1,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.45 : 5,778.83 = 1,079.21 : x
  2. Step 2: Convert to fraction form
    3,852.45/5,778.83 = 1,079.21/x
  3. Step 3: Cross multiply
    3,852.45x = 5,778.83 × 1,079.21
  4. Step 4: Simplify right side
    3,852.45x = 6,236,571.12
  5. Step 5: Solve for x
    x = 6,236,571.12/3,852.45
  6. Step 6: Final answer
    x = 1,618.86

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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.