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Finding the Fourth Proportional to 4,113.28, 6,169.50 and 1,922.44

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Solution

The fourth proportional to 4,113.28, 6,169.50 and 1,922.44 is: 2,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.28 : 6,169.50 = 1,922.44 : x
  2. Step 2: Convert to fraction form
    4,113.28/6,169.50 = 1,922.44/x
  3. Step 3: Cross multiply
    4,113.28x = 6,169.50 × 1,922.44
  4. Step 4: Simplify right side
    4,113.28x = 11,860,493.58
  5. Step 5: Solve for x
    x = 11,860,493.58/4,113.28
  6. Step 6: Final answer
    x = 2,883.46

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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.