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Finding the Fourth Proportional to 5,996.78, 8,994.54 and 2,833.46

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Solution

The fourth proportional to 5,996.78, 8,994.54 and 2,833.46 is: 4,249.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,996.78 : 8,994.54 = 2,833.46 : x
  2. Step 2: Convert to fraction form
    5,996.78/8,994.54 = 2,833.46/x
  3. Step 3: Cross multiply
    5,996.78x = 8,994.54 × 2,833.46
  4. Step 4: Simplify right side
    5,996.78x = 25,485,669.31
  5. Step 5: Solve for x
    x = 25,485,669.31/5,996.78
  6. Step 6: Final answer
    x = 4,249.89

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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.