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Finding the Fourth Proportional to 6,423.23, 8,863.90 and 3,905.42

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Solution

The fourth proportional to 6,423.23, 8,863.90 and 3,905.42 is: 5,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.23 : 8,863.90 = 3,905.42 : x
  2. Step 2: Convert to fraction form
    6,423.23/8,863.90 = 3,905.42/x
  3. Step 3: Cross multiply
    6,423.23x = 8,863.90 × 3,905.42
  4. Step 4: Simplify right side
    6,423.23x = 34,617,198.25
  5. Step 5: Solve for x
    x = 34,617,198.25/6,423.23
  6. Step 6: Final answer
    x = 5,389.37

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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.