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Finding the Fourth Proportional to 4,797.58, 7,194.31 and 1,676.65

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Solution

The fourth proportional to 4,797.58, 7,194.31 and 1,676.65 is: 2,514.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.58 : 7,194.31 = 1,676.65 : x
  2. Step 2: Convert to fraction form
    4,797.58/7,194.31 = 1,676.65/x
  3. Step 3: Cross multiply
    4,797.58x = 7,194.31 × 1,676.65
  4. Step 4: Simplify right side
    4,797.58x = 12,062,339.86
  5. Step 5: Solve for x
    x = 12,062,339.86/4,797.58
  6. Step 6: Final answer
    x = 2,514.26

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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.