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Finding the Fourth Proportional to 5,996.94, 8,995.50 and 2,101.50

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Solution

The fourth proportional to 5,996.94, 8,995.50 and 2,101.50 is: 3,152.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.94 : 8,995.50 = 2,101.50 : x
  2. Step 2: Convert to fraction form
    5,996.94/8,995.50 = 2,101.50/x
  3. Step 3: Cross multiply
    5,996.94x = 8,995.50 × 2,101.50
  4. Step 4: Simplify right side
    5,996.94x = 18,904,043.25
  5. Step 5: Solve for x
    x = 18,904,043.25/5,996.94
  6. Step 6: Final answer
    x = 3,152.28

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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.