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Finding the Fourth Proportional to 5,783.92, 8,673.42 and 3,936.04

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Solution

The fourth proportional to 5,783.92, 8,673.42 and 3,936.04 is: 5,902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.92 : 8,673.42 = 3,936.04 : x
  2. Step 2: Convert to fraction form
    5,783.92/8,673.42 = 3,936.04/x
  3. Step 3: Cross multiply
    5,783.92x = 8,673.42 × 3,936.04
  4. Step 4: Simplify right side
    5,783.92x = 34,138,928.06
  5. Step 5: Solve for x
    x = 34,138,928.06/5,783.92
  6. Step 6: Final answer
    x = 5,902.39

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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.