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Finding the Fourth Proportional to 6,323.99, 8,727 and 3,491.39

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Solution

The fourth proportional to 6,323.99, 8,727 and 3,491.39 is: 4,818.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.99 : 8,727 = 3,491.39 : x
  2. Step 2: Convert to fraction form
    6,323.99/8,727 = 3,491.39/x
  3. Step 3: Cross multiply
    6,323.99x = 8,727 × 3,491.39
  4. Step 4: Simplify right side
    6,323.99x = 30,469,316.90
  5. Step 5: Solve for x
    x = 30,469,316.90/6,323.99
  6. Step 6: Final answer
    x = 4,818.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.