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Finding the Fourth Proportional to 3,967.92, 5,942.88 and 3,406.32

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Solution

The fourth proportional to 3,967.92, 5,942.88 and 3,406.32 is: 5,101.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.92 : 5,942.88 = 3,406.32 : x
  2. Step 2: Convert to fraction form
    3,967.92/5,942.88 = 3,406.32/x
  3. Step 3: Cross multiply
    3,967.92x = 5,942.88 × 3,406.32
  4. Step 4: Simplify right side
    3,967.92x = 20,243,351.00
  5. Step 5: Solve for x
    x = 20,243,351.00/3,967.92
  6. Step 6: Final answer
    x = 5,101.75

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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.