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Finding the Fourth Proportional to 3,893.22, 5,835.21 and 2,246.36

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Solution

The fourth proportional to 3,893.22, 5,835.21 and 2,246.36 is: 3,366.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,893.22 : 5,835.21 = 2,246.36 : x
  2. Step 2: Convert to fraction form
    3,893.22/5,835.21 = 2,246.36/x
  3. Step 3: Cross multiply
    3,893.22x = 5,835.21 × 2,246.36
  4. Step 4: Simplify right side
    3,893.22x = 13,107,953.16
  5. Step 5: Solve for x
    x = 13,107,953.16/3,893.22
  6. Step 6: Final answer
    x = 3,366.87

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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.