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Finding the Fourth Proportional to 5,896.45, 8,848.71 and 2,201.62

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Solution

The fourth proportional to 5,896.45, 8,848.71 and 2,201.62 is: 3,303.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.45 : 8,848.71 = 2,201.62 : x
  2. Step 2: Convert to fraction form
    5,896.45/8,848.71 = 2,201.62/x
  3. Step 3: Cross multiply
    5,896.45x = 8,848.71 × 2,201.62
  4. Step 4: Simplify right side
    5,896.45x = 19,481,496.91
  5. Step 5: Solve for x
    x = 19,481,496.91/5,896.45
  6. Step 6: Final answer
    x = 3,303.94

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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.