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Finding the Fourth Proportional to 5,306.82, 7,957.14 and 2,020.14

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Solution

The fourth proportional to 5,306.82, 7,957.14 and 2,020.14 is: 3,029.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.82 : 7,957.14 = 2,020.14 : x
  2. Step 2: Convert to fraction form
    5,306.82/7,957.14 = 2,020.14/x
  3. Step 3: Cross multiply
    5,306.82x = 7,957.14 × 2,020.14
  4. Step 4: Simplify right side
    5,306.82x = 16,074,536.80
  5. Step 5: Solve for x
    x = 16,074,536.80/5,306.82
  6. Step 6: Final answer
    x = 3,029.03

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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.