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Finding the Fourth Proportional to 4,755.66, 6,563.85 and 2,766.48

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Solution

The fourth proportional to 4,755.66, 6,563.85 and 2,766.48 is: 3,818.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,755.66 : 6,563.85 = 2,766.48 : x
  2. Step 2: Convert to fraction form
    4,755.66/6,563.85 = 2,766.48/x
  3. Step 3: Cross multiply
    4,755.66x = 6,563.85 × 2,766.48
  4. Step 4: Simplify right side
    4,755.66x = 18,158,747.11
  5. Step 5: Solve for x
    x = 18,158,747.11/4,755.66
  6. Step 6: Final answer
    x = 3,818.34

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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.