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Finding the Fourth Proportional to 5,894.56, 8,836.34 and 1,996.24

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Solution

The fourth proportional to 5,894.56, 8,836.34 and 1,996.24 is: 2,992.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.56 : 8,836.34 = 1,996.24 : x
  2. Step 2: Convert to fraction form
    5,894.56/8,836.34 = 1,996.24/x
  3. Step 3: Cross multiply
    5,894.56x = 8,836.34 × 1,996.24
  4. Step 4: Simplify right side
    5,894.56x = 17,639,455.36
  5. Step 5: Solve for x
    x = 17,639,455.36/5,894.56
  6. Step 6: Final answer
    x = 2,992.50

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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.