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Finding the Fourth Proportional to 4,960.05, 7,425.50 and 3,105.42

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Solution

The fourth proportional to 4,960.05, 7,425.50 and 3,105.42 is: 4,649.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,960.05 : 7,425.50 = 3,105.42 : x
  2. Step 2: Convert to fraction form
    4,960.05/7,425.50 = 3,105.42/x
  3. Step 3: Cross multiply
    4,960.05x = 7,425.50 × 3,105.42
  4. Step 4: Simplify right side
    4,960.05x = 23,059,280.68
  5. Step 5: Solve for x
    x = 23,059,280.68/4,960.05
  6. Step 6: Final answer
    x = 4,649.00

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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.