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Finding the Fourth Proportional to 5,901.52, 8,843.09 and 2,202.75

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Solution

The fourth proportional to 5,901.52, 8,843.09 and 2,202.75 is: 3,300.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,901.52 : 8,843.09 = 2,202.75 : x
  2. Step 2: Convert to fraction form
    5,901.52/8,843.09 = 2,202.75/x
  3. Step 3: Cross multiply
    5,901.52x = 8,843.09 × 2,202.75
  4. Step 4: Simplify right side
    5,901.52x = 19,479,116.50
  5. Step 5: Solve for x
    x = 19,479,116.50/5,901.52
  6. Step 6: Final answer
    x = 3,300.69

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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.