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Finding the Fourth Proportional to 3,514.66, 4,850.08 and 1,942.72

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Solution

The fourth proportional to 3,514.66, 4,850.08 and 1,942.72 is: 2,680.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.66 : 4,850.08 = 1,942.72 : x
  2. Step 2: Convert to fraction form
    3,514.66/4,850.08 = 1,942.72/x
  3. Step 3: Cross multiply
    3,514.66x = 4,850.08 × 1,942.72
  4. Step 4: Simplify right side
    3,514.66x = 9,422,347.42
  5. Step 5: Solve for x
    x = 9,422,347.42/3,514.66
  6. Step 6: Final answer
    x = 2,680.87

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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.