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Finding the Fourth Proportional to 4,911.69, 6,778.50 and 2,787.21

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Solution

The fourth proportional to 4,911.69, 6,778.50 and 2,787.21 is: 3,846.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,911.69 : 6,778.50 = 2,787.21 : x
  2. Step 2: Convert to fraction form
    4,911.69/6,778.50 = 2,787.21/x
  3. Step 3: Cross multiply
    4,911.69x = 6,778.50 × 2,787.21
  4. Step 4: Simplify right side
    4,911.69x = 18,893,102.99
  5. Step 5: Solve for x
    x = 18,893,102.99/4,911.69
  6. Step 6: Final answer
    x = 3,846.56

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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.