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Finding the Fourth Proportional to 3,858.58, 5,787.82 and 936.88

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Solution

The fourth proportional to 3,858.58, 5,787.82 and 936.88 is: 1,405.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.58 : 5,787.82 = 936.88 : x
  2. Step 2: Convert to fraction form
    3,858.58/5,787.82 = 936.88/x
  3. Step 3: Cross multiply
    3,858.58x = 5,787.82 × 936.88
  4. Step 4: Simplify right side
    3,858.58x = 5,422,512.06
  5. Step 5: Solve for x
    x = 5,422,512.06/3,858.58
  6. Step 6: Final answer
    x = 1,405.31

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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.