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Finding the Fourth Proportional to 3,438.88, 5,169.74 and 2,794.12

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Solution

The fourth proportional to 3,438.88, 5,169.74 and 2,794.12 is: 4,200.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.88 : 5,169.74 = 2,794.12 : x
  2. Step 2: Convert to fraction form
    3,438.88/5,169.74 = 2,794.12/x
  3. Step 3: Cross multiply
    3,438.88x = 5,169.74 × 2,794.12
  4. Step 4: Simplify right side
    3,438.88x = 14,444,873.93
  5. Step 5: Solve for x
    x = 14,444,873.93/3,438.88
  6. Step 6: Final answer
    x = 4,200.46

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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.