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Finding the Fourth Proportional to 3,897.64, 5,845.83 and 1,431.85

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Solution

The fourth proportional to 3,897.64, 5,845.83 and 1,431.85 is: 2,147.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.64 : 5,845.83 = 1,431.85 : x
  2. Step 2: Convert to fraction form
    3,897.64/5,845.83 = 1,431.85/x
  3. Step 3: Cross multiply
    3,897.64x = 5,845.83 × 1,431.85
  4. Step 4: Simplify right side
    3,897.64x = 8,370,351.69
  5. Step 5: Solve for x
    x = 8,370,351.69/3,897.64
  6. Step 6: Final answer
    x = 2,147.54

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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.