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Finding the Fourth Proportional to 3,905.97, 5,850.23 and 3,022.46

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Solution

The fourth proportional to 3,905.97, 5,850.23 and 3,022.46 is: 4,526.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,905.97 : 5,850.23 = 3,022.46 : x
  2. Step 2: Convert to fraction form
    3,905.97/5,850.23 = 3,022.46/x
  3. Step 3: Cross multiply
    3,905.97x = 5,850.23 × 3,022.46
  4. Step 4: Simplify right side
    3,905.97x = 17,682,064.47
  5. Step 5: Solve for x
    x = 17,682,064.47/3,905.97
  6. Step 6: Final answer
    x = 4,526.93

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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.