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Finding the Fourth Proportional to 3,858.09, 5,787.15 and 936.39

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Solution

The fourth proportional to 3,858.09, 5,787.15 and 936.39 is: 1,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.09 : 5,787.15 = 936.39 : x
  2. Step 2: Convert to fraction form
    3,858.09/5,787.15 = 936.39/x
  3. Step 3: Cross multiply
    3,858.09x = 5,787.15 × 936.39
  4. Step 4: Simplify right side
    3,858.09x = 5,419,024.71
  5. Step 5: Solve for x
    x = 5,419,024.71/3,858.09
  6. Step 6: Final answer
    x = 1,404.59

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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.