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Finding the Fourth Proportional to 4,964.54, 6,850.10 and 3,195.90

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Solution

The fourth proportional to 4,964.54, 6,850.10 and 3,195.90 is: 4,409.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.54 : 6,850.10 = 3,195.90 : x
  2. Step 2: Convert to fraction form
    4,964.54/6,850.10 = 3,195.90/x
  3. Step 3: Cross multiply
    4,964.54x = 6,850.10 × 3,195.90
  4. Step 4: Simplify right side
    4,964.54x = 21,892,218.61
  5. Step 5: Solve for x
    x = 21,892,218.61/4,964.54
  6. Step 6: Final answer
    x = 4,409.72

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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.