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Finding the Fourth Proportional to 5,996.94, 8,999.46 and 2,101.38

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Solution

The fourth proportional to 5,996.94, 8,999.46 and 2,101.38 is: 3,153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.94 : 8,999.46 = 2,101.38 : x
  2. Step 2: Convert to fraction form
    5,996.94/8,999.46 = 2,101.38/x
  3. Step 3: Cross multiply
    5,996.94x = 8,999.46 × 2,101.38
  4. Step 4: Simplify right side
    5,996.94x = 18,911,285.25
  5. Step 5: Solve for x
    x = 18,911,285.25/5,996.94
  6. Step 6: Final answer
    x = 3,153.49

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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.