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Finding the Fourth Proportional to 6,299.43, 8,692.87 and 3,466.34

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Solution

The fourth proportional to 6,299.43, 8,692.87 and 3,466.34 is: 4,783.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.43 : 8,692.87 = 3,466.34 : x
  2. Step 2: Convert to fraction form
    6,299.43/8,692.87 = 3,466.34/x
  3. Step 3: Cross multiply
    6,299.43x = 8,692.87 × 3,466.34
  4. Step 4: Simplify right side
    6,299.43x = 30,132,443.00
  5. Step 5: Solve for x
    x = 30,132,443.00/6,299.43
  6. Step 6: Final answer
    x = 4,783.36

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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.