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Finding the Fourth Proportional to 4,767.94, 6,580.13 and 2,778.85

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Solution

The fourth proportional to 4,767.94, 6,580.13 and 2,778.85 is: 3,835.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,767.94 : 6,580.13 = 2,778.85 : x
  2. Step 2: Convert to fraction form
    4,767.94/6,580.13 = 2,778.85/x
  3. Step 3: Cross multiply
    4,767.94x = 6,580.13 × 2,778.85
  4. Step 4: Simplify right side
    4,767.94x = 18,285,163.91
  5. Step 5: Solve for x
    x = 18,285,163.91/4,767.94
  6. Step 6: Final answer
    x = 3,835.03

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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.