Home / 5,142.09-7,694.00-4,514.42

Finding the Fourth Proportional to 5,142.09, 7,694.00 and 4,514.42

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Solution

The fourth proportional to 5,142.09, 7,694.00 and 4,514.42 is: 6,754.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,142.09 : 7,694.00 = 4,514.42 : x
  2. Step 2: Convert to fraction form
    5,142.09/7,694.00 = 4,514.42/x
  3. Step 3: Cross multiply
    5,142.09x = 7,694.00 × 4,514.42
  4. Step 4: Simplify right side
    5,142.09x = 34,733,886.44
  5. Step 5: Solve for x
    x = 34,733,886.44/5,142.09
  6. Step 6: Final answer
    x = 6,754.82

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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.