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Finding the Fourth Proportional to 3,787.50, 5,231.91 and 3,602.94

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Solution

The fourth proportional to 3,787.50, 5,231.91 and 3,602.94 is: 4,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,787.50 : 5,231.91 = 3,602.94 : x
  2. Step 2: Convert to fraction form
    3,787.50/5,231.91 = 3,602.94/x
  3. Step 3: Cross multiply
    3,787.50x = 5,231.91 × 3,602.94
  4. Step 4: Simplify right side
    3,787.50x = 18,850,257.82
  5. Step 5: Solve for x
    x = 18,850,257.82/3,787.50
  6. Step 6: Final answer
    x = 4,976.97

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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.