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Finding the Fourth Proportional to 6,423.49, 8,865.05 and 3,905.38

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Solution

The fourth proportional to 6,423.49, 8,865.05 and 3,905.38 is: 5,389.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.49 : 8,865.05 = 3,905.38 : x
  2. Step 2: Convert to fraction form
    6,423.49/8,865.05 = 3,905.38/x
  3. Step 3: Cross multiply
    6,423.49x = 8,865.05 × 3,905.38
  4. Step 4: Simplify right side
    6,423.49x = 34,621,388.97
  5. Step 5: Solve for x
    x = 34,621,388.97/6,423.49
  6. Step 6: Final answer
    x = 5,389.81

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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.