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Finding the Fourth Proportional to 4,002.36, 5,996.50 and 3,419.32

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Solution

The fourth proportional to 4,002.36, 5,996.50 and 3,419.32 is: 5,122.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,002.36 : 5,996.50 = 3,419.32 : x
  2. Step 2: Convert to fraction form
    4,002.36/5,996.50 = 3,419.32/x
  3. Step 3: Cross multiply
    4,002.36x = 5,996.50 × 3,419.32
  4. Step 4: Simplify right side
    4,002.36x = 20,503,952.38
  5. Step 5: Solve for x
    x = 20,503,952.38/4,002.36
  6. Step 6: Final answer
    x = 5,122.97

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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.