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Finding the Fourth Proportional to 6,406.34, 8,840.25 and 3,753.38

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Solution

The fourth proportional to 6,406.34, 8,840.25 and 3,753.38 is: 5,179.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.34 : 8,840.25 = 3,753.38 : x
  2. Step 2: Convert to fraction form
    6,406.34/8,840.25 = 3,753.38/x
  3. Step 3: Cross multiply
    6,406.34x = 8,840.25 × 3,753.38
  4. Step 4: Simplify right side
    6,406.34x = 33,180,817.55
  5. Step 5: Solve for x
    x = 33,180,817.55/6,406.34
  6. Step 6: Final answer
    x = 5,179.37

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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.