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Finding the Fourth Proportional to 6,385.44, 8,809.20 and 3,900

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Solution

The fourth proportional to 6,385.44, 8,809.20 and 3,900 is: 5,380.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.44 : 8,809.20 = 3,900 : x
  2. Step 2: Convert to fraction form
    6,385.44/8,809.20 = 3,900/x
  3. Step 3: Cross multiply
    6,385.44x = 8,809.20 × 3,900
  4. Step 4: Simplify right side
    6,385.44x = 34,355,880
  5. Step 5: Solve for x
    x = 34,355,880/6,385.44
  6. Step 6: Final answer
    x = 5,380.35

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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.