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Finding the Fourth Proportional to 6,324.08, 8,727.00 and 3,491.40

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Solution

The fourth proportional to 6,324.08, 8,727.00 and 3,491.40 is: 4,818.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.08 : 8,727.00 = 3,491.40 : x
  2. Step 2: Convert to fraction form
    6,324.08/8,727.00 = 3,491.40/x
  3. Step 3: Cross multiply
    6,324.08x = 8,727.00 × 3,491.40
  4. Step 4: Simplify right side
    6,324.08x = 30,469,418.35
  5. Step 5: Solve for x
    x = 30,469,418.35/6,324.08
  6. Step 6: Final answer
    x = 4,818.00

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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.