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Finding the Fourth Proportional to 3,787.94, 5,227.41 and 2,109.35

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Solution

The fourth proportional to 3,787.94, 5,227.41 and 2,109.35 is: 2,910.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.94 : 5,227.41 = 2,109.35 : x
  2. Step 2: Convert to fraction form
    3,787.94/5,227.41 = 2,109.35/x
  3. Step 3: Cross multiply
    3,787.94x = 5,227.41 × 2,109.35
  4. Step 4: Simplify right side
    3,787.94x = 11,026,411.15
  5. Step 5: Solve for x
    x = 11,026,411.15/3,787.94
  6. Step 6: Final answer
    x = 2,910.93

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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.