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Finding the Fourth Proportional to 4,872.80, 6,724.40 and 2,664.80

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Solution

The fourth proportional to 4,872.80, 6,724.40 and 2,664.80 is: 3,677.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,872.80 : 6,724.40 = 2,664.80 : x
  2. Step 2: Convert to fraction form
    4,872.80/6,724.40 = 2,664.80/x
  3. Step 3: Cross multiply
    4,872.80x = 6,724.40 × 2,664.80
  4. Step 4: Simplify right side
    4,872.80x = 17,919,181.12
  5. Step 5: Solve for x
    x = 17,919,181.12/4,872.80
  6. Step 6: Final answer
    x = 3,677.39

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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.