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Finding the Fourth Proportional to 2,996.36, 4,134.48 and 2,000.04

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Solution

The fourth proportional to 2,996.36, 4,134.48 and 2,000.04 is: 2,759.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,996.36 : 4,134.48 = 2,000.04 : x
  2. Step 2: Convert to fraction form
    2,996.36/4,134.48 = 2,000.04/x
  3. Step 3: Cross multiply
    2,996.36x = 4,134.48 × 2,000.04
  4. Step 4: Simplify right side
    2,996.36x = 8,269,125.38
  5. Step 5: Solve for x
    x = 8,269,125.38/2,996.36
  6. Step 6: Final answer
    x = 2,759.72

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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.