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Finding the Fourth Proportional to 5,911.97, 8,861.97 and 3,833.30

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Solution

The fourth proportional to 5,911.97, 8,861.97 and 3,833.30 is: 5,746.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,911.97 : 8,861.97 = 3,833.30 : x
  2. Step 2: Convert to fraction form
    5,911.97/8,861.97 = 3,833.30/x
  3. Step 3: Cross multiply
    5,911.97x = 8,861.97 × 3,833.30
  4. Step 4: Simplify right side
    5,911.97x = 33,970,545.29
  5. Step 5: Solve for x
    x = 33,970,545.29/5,911.97
  6. Step 6: Final answer
    x = 5,746.06

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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.