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Finding the Fourth Proportional to 3,787.56, 5,677.38 and 2,745

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Solution

The fourth proportional to 3,787.56, 5,677.38 and 2,745 is: 4,114.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.56 : 5,677.38 = 2,745 : x
  2. Step 2: Convert to fraction form
    3,787.56/5,677.38 = 2,745/x
  3. Step 3: Cross multiply
    3,787.56x = 5,677.38 × 2,745
  4. Step 4: Simplify right side
    3,787.56x = 15,584,408.10
  5. Step 5: Solve for x
    x = 15,584,408.10/3,787.56
  6. Step 6: Final answer
    x = 4,114.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.