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Finding the Fourth Proportional to 3,198.53, 4,793.76 and 1,714.07

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Solution

The fourth proportional to 3,198.53, 4,793.76 and 1,714.07 is: 2,568.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.53 : 4,793.76 = 1,714.07 : x
  2. Step 2: Convert to fraction form
    3,198.53/4,793.76 = 1,714.07/x
  3. Step 3: Cross multiply
    3,198.53x = 4,793.76 × 1,714.07
  4. Step 4: Simplify right side
    3,198.53x = 8,216,823.93
  5. Step 5: Solve for x
    x = 8,216,823.93/3,198.53
  6. Step 6: Final answer
    x = 2,568.94

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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.