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Finding the Fourth Proportional to 3,579.96, 4,940.64 and 2,007.84

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Solution

The fourth proportional to 3,579.96, 4,940.64 and 2,007.84 is: 2,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.96 : 4,940.64 = 2,007.84 : x
  2. Step 2: Convert to fraction form
    3,579.96/4,940.64 = 2,007.84/x
  3. Step 3: Cross multiply
    3,579.96x = 4,940.64 × 2,007.84
  4. Step 4: Simplify right side
    3,579.96x = 9,920,014.62
  5. Step 5: Solve for x
    x = 9,920,014.62/3,579.96
  6. Step 6: Final answer
    x = 2,770.98

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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.