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Finding the Fourth Proportional to 4,769.85, 6,577.82 and 3,650.82

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Solution

The fourth proportional to 4,769.85, 6,577.82 and 3,650.82 is: 5,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.85 : 6,577.82 = 3,650.82 : x
  2. Step 2: Convert to fraction form
    4,769.85/6,577.82 = 3,650.82/x
  3. Step 3: Cross multiply
    4,769.85x = 6,577.82 × 3,650.82
  4. Step 4: Simplify right side
    4,769.85x = 24,014,418.56
  5. Step 5: Solve for x
    x = 24,014,418.56/4,769.85
  6. Step 6: Final answer
    x = 5,034.63

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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.