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Finding the Fourth Proportional to 3,900.33, 5,850.32 and 1,434.97

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Solution

The fourth proportional to 3,900.33, 5,850.32 and 1,434.97 is: 2,152.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.33 : 5,850.32 = 1,434.97 : x
  2. Step 2: Convert to fraction form
    3,900.33/5,850.32 = 1,434.97/x
  3. Step 3: Cross multiply
    3,900.33x = 5,850.32 × 1,434.97
  4. Step 4: Simplify right side
    3,900.33x = 8,395,033.83
  5. Step 5: Solve for x
    x = 8,395,033.83/3,900.33
  6. Step 6: Final answer
    x = 2,152.39

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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.