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Finding the Fourth Proportional to 5,896.75, 8,137.52 and 3,412.75

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Solution

The fourth proportional to 5,896.75, 8,137.52 and 3,412.75 is: 4,709.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.75 : 8,137.52 = 3,412.75 : x
  2. Step 2: Convert to fraction form
    5,896.75/8,137.52 = 3,412.75/x
  3. Step 3: Cross multiply
    5,896.75x = 8,137.52 × 3,412.75
  4. Step 4: Simplify right side
    5,896.75x = 27,771,321.38
  5. Step 5: Solve for x
    x = 27,771,321.38/5,896.75
  6. Step 6: Final answer
    x = 4,709.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.