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Finding the Fourth Proportional to 5,476, 8,212.26 and 1,777.38

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Solution

The fourth proportional to 5,476, 8,212.26 and 1,777.38 is: 2,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,476 : 8,212.26 = 1,777.38 : x
  2. Step 2: Convert to fraction form
    5,476/8,212.26 = 1,777.38/x
  3. Step 3: Cross multiply
    5,476x = 8,212.26 × 1,777.38
  4. Step 4: Simplify right side
    5,476x = 14,596,306.68
  5. Step 5: Solve for x
    x = 14,596,306.68/5,476
  6. Step 6: Final answer
    x = 2,665.51

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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.