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Finding the Fourth Proportional to 4,198.68, 5,794.02 and 2,335.80

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Solution

The fourth proportional to 4,198.68, 5,794.02 and 2,335.80 is: 3,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,198.68 : 5,794.02 = 2,335.80 : x
  2. Step 2: Convert to fraction form
    4,198.68/5,794.02 = 2,335.80/x
  3. Step 3: Cross multiply
    4,198.68x = 5,794.02 × 2,335.80
  4. Step 4: Simplify right side
    4,198.68x = 13,533,671.92
  5. Step 5: Solve for x
    x = 13,533,671.92/4,198.68
  6. Step 6: Final answer
    x = 3,223.32

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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.