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Finding the Fourth Proportional to 5,211.90, 7,819.07 and 1,514.21

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Solution

The fourth proportional to 5,211.90, 7,819.07 and 1,514.21 is: 2,271.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,211.90 : 7,819.07 = 1,514.21 : x
  2. Step 2: Convert to fraction form
    5,211.90/7,819.07 = 1,514.21/x
  3. Step 3: Cross multiply
    5,211.90x = 7,819.07 × 1,514.21
  4. Step 4: Simplify right side
    5,211.90x = 11,839,667.32
  5. Step 5: Solve for x
    x = 11,839,667.32/5,211.90
  6. Step 6: Final answer
    x = 2,271.66

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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.