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Finding the Fourth Proportional to 4,766.82, 6,578.86 and 2,777.46

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Solution

The fourth proportional to 4,766.82, 6,578.86 and 2,777.46 is: 3,833.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.82 : 6,578.86 = 2,777.46 : x
  2. Step 2: Convert to fraction form
    4,766.82/6,578.86 = 2,777.46/x
  3. Step 3: Cross multiply
    4,766.82x = 6,578.86 × 2,777.46
  4. Step 4: Simplify right side
    4,766.82x = 18,272,520.50
  5. Step 5: Solve for x
    x = 18,272,520.50/4,766.82
  6. Step 6: Final answer
    x = 3,833.27

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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.