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Finding the Fourth Proportional to 6,200.18, 8,553.82 and 3,546.18

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Solution

The fourth proportional to 6,200.18, 8,553.82 and 3,546.18 is: 4,892.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.18 : 8,553.82 = 3,546.18 : x
  2. Step 2: Convert to fraction form
    6,200.18/8,553.82 = 3,546.18/x
  3. Step 3: Cross multiply
    6,200.18x = 8,553.82 × 3,546.18
  4. Step 4: Simplify right side
    6,200.18x = 30,333,385.41
  5. Step 5: Solve for x
    x = 30,333,385.41/6,200.18
  6. Step 6: Final answer
    x = 4,892.34

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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.