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Finding the Fourth Proportional to 4,089.78, 5,642.10 and 2,763

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Solution

The fourth proportional to 4,089.78, 5,642.10 and 2,763 is: 3,811.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.78 : 5,642.10 = 2,763 : x
  2. Step 2: Convert to fraction form
    4,089.78/5,642.10 = 2,763/x
  3. Step 3: Cross multiply
    4,089.78x = 5,642.10 × 2,763
  4. Step 4: Simplify right side
    4,089.78x = 15,589,122.30
  5. Step 5: Solve for x
    x = 15,589,122.30/4,089.78
  6. Step 6: Final answer
    x = 3,811.73

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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.