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Finding the Fourth Proportional to 4,805.11, 7,207.26 and 1,519.75

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Solution

The fourth proportional to 4,805.11, 7,207.26 and 1,519.75 is: 2,279.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,805.11 : 7,207.26 = 1,519.75 : x
  2. Step 2: Convert to fraction form
    4,805.11/7,207.26 = 1,519.75/x
  3. Step 3: Cross multiply
    4,805.11x = 7,207.26 × 1,519.75
  4. Step 4: Simplify right side
    4,805.11x = 10,953,233.39
  5. Step 5: Solve for x
    x = 10,953,233.39/4,805.11
  6. Step 6: Final answer
    x = 2,279.50

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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.