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Finding the Fourth Proportional to 5,134, 7,700.80 and 2,912.80

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Solution

The fourth proportional to 5,134, 7,700.80 and 2,912.80 is: 4,369.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134 : 7,700.80 = 2,912.80 : x
  2. Step 2: Convert to fraction form
    5,134/7,700.80 = 2,912.80/x
  3. Step 3: Cross multiply
    5,134x = 7,700.80 × 2,912.80
  4. Step 4: Simplify right side
    5,134x = 22,430,890.24
  5. Step 5: Solve for x
    x = 22,430,890.24/5,134
  6. Step 6: Final answer
    x = 4,369.09

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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.