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Finding the Fourth Proportional to 3,337.96, 5,007.94 and 998.04

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Solution

The fourth proportional to 3,337.96, 5,007.94 and 998.04 is: 1,497.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,337.96 : 5,007.94 = 998.04 : x
  2. Step 2: Convert to fraction form
    3,337.96/5,007.94 = 998.04/x
  3. Step 3: Cross multiply
    3,337.96x = 5,007.94 × 998.04
  4. Step 4: Simplify right side
    3,337.96x = 4,998,115.36
  5. Step 5: Solve for x
    x = 4,998,115.36/3,337.96
  6. Step 6: Final answer
    x = 1,497.36

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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.