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Finding the Fourth Proportional to 5,896, 8,136.88 and 3,412

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Solution

The fourth proportional to 5,896, 8,136.88 and 3,412 is: 4,708.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896 : 8,136.88 = 3,412 : x
  2. Step 2: Convert to fraction form
    5,896/8,136.88 = 3,412/x
  3. Step 3: Cross multiply
    5,896x = 8,136.88 × 3,412
  4. Step 4: Simplify right side
    5,896x = 27,763,034.56
  5. Step 5: Solve for x
    x = 27,763,034.56/5,896
  6. Step 6: Final answer
    x = 4,708.79

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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.