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Finding the Fourth Proportional to 4,198.88, 5,794.59 and 2,310.36

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Solution

The fourth proportional to 4,198.88, 5,794.59 and 2,310.36 is: 3,188.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.88 : 5,794.59 = 2,310.36 : x
  2. Step 2: Convert to fraction form
    4,198.88/5,794.59 = 2,310.36/x
  3. Step 3: Cross multiply
    4,198.88x = 5,794.59 × 2,310.36
  4. Step 4: Simplify right side
    4,198.88x = 13,387,588.95
  5. Step 5: Solve for x
    x = 13,387,588.95/4,198.88
  6. Step 6: Final answer
    x = 3,188.38

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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.