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Finding the Fourth Proportional to 3,867.91, 5,801.87 and 1,402.27

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Solution

The fourth proportional to 3,867.91, 5,801.87 and 1,402.27 is: 2,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.91 : 5,801.87 = 1,402.27 : x
  2. Step 2: Convert to fraction form
    3,867.91/5,801.87 = 1,402.27/x
  3. Step 3: Cross multiply
    3,867.91x = 5,801.87 × 1,402.27
  4. Step 4: Simplify right side
    3,867.91x = 8,135,788.24
  5. Step 5: Solve for x
    x = 8,135,788.24/3,867.91
  6. Step 6: Final answer
    x = 2,103.41

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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.