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Finding the Fourth Proportional to 4,252.38, 6,377.54 and 1,787.23

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Solution

The fourth proportional to 4,252.38, 6,377.54 and 1,787.23 is: 2,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,252.38 : 6,377.54 = 1,787.23 : x
  2. Step 2: Convert to fraction form
    4,252.38/6,377.54 = 1,787.23/x
  3. Step 3: Cross multiply
    4,252.38x = 6,377.54 × 1,787.23
  4. Step 4: Simplify right side
    4,252.38x = 11,398,121.88
  5. Step 5: Solve for x
    x = 11,398,121.88/4,252.38
  6. Step 6: Final answer
    x = 2,680.41

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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.