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Finding the Fourth Proportional to 3,858.50, 5,787.71 and 936.81

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Solution

The fourth proportional to 3,858.50, 5,787.71 and 936.81 is: 1,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858.50 : 5,787.71 = 936.81 : x
  2. Step 2: Convert to fraction form
    3,858.50/5,787.71 = 936.81/x
  3. Step 3: Cross multiply
    3,858.50x = 5,787.71 × 936.81
  4. Step 4: Simplify right side
    3,858.50x = 5,421,958.01
  5. Step 5: Solve for x
    x = 5,421,958.01/3,858.50
  6. Step 6: Final answer
    x = 1,405.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.