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Finding the Fourth Proportional to 5,797.50, 8,691.36 and 3,943.41

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Solution

The fourth proportional to 5,797.50, 8,691.36 and 3,943.41 is: 5,911.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,797.50 : 8,691.36 = 3,943.41 : x
  2. Step 2: Convert to fraction form
    5,797.50/8,691.36 = 3,943.41/x
  3. Step 3: Cross multiply
    5,797.50x = 8,691.36 × 3,943.41
  4. Step 4: Simplify right side
    5,797.50x = 34,273,595.94
  5. Step 5: Solve for x
    x = 34,273,595.94/5,797.50
  6. Step 6: Final answer
    x = 5,911.79

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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.