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Finding the Fourth Proportional to 5,801.92, 8,701.92 and 1,906.36

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Solution

The fourth proportional to 5,801.92, 8,701.92 and 1,906.36 is: 2,859.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.92 : 8,701.92 = 1,906.36 : x
  2. Step 2: Convert to fraction form
    5,801.92/8,701.92 = 1,906.36/x
  3. Step 3: Cross multiply
    5,801.92x = 8,701.92 × 1,906.36
  4. Step 4: Simplify right side
    5,801.92x = 16,588,992.21
  5. Step 5: Solve for x
    x = 16,588,992.21/5,801.92
  6. Step 6: Final answer
    x = 2,859.22

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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.