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Finding the Fourth Proportional to 5,942.03, 8,200.04 and 3,289.38

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Solution

The fourth proportional to 5,942.03, 8,200.04 and 3,289.38 is: 4,539.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.03 : 8,200.04 = 3,289.38 : x
  2. Step 2: Convert to fraction form
    5,942.03/8,200.04 = 3,289.38/x
  3. Step 3: Cross multiply
    5,942.03x = 8,200.04 × 3,289.38
  4. Step 4: Simplify right side
    5,942.03x = 26,973,000.38
  5. Step 5: Solve for x
    x = 26,973,000.38/5,942.03
  6. Step 6: Final answer
    x = 4,539.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.