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Finding the Fourth Proportional to 3,496.74, 5,245.11 and 3,293.88

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Solution

The fourth proportional to 3,496.74, 5,245.11 and 3,293.88 is: 4,940.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.74 : 5,245.11 = 3,293.88 : x
  2. Step 2: Convert to fraction form
    3,496.74/5,245.11 = 3,293.88/x
  3. Step 3: Cross multiply
    3,496.74x = 5,245.11 × 3,293.88
  4. Step 4: Simplify right side
    3,496.74x = 17,276,762.93
  5. Step 5: Solve for x
    x = 17,276,762.93/3,496.74
  6. Step 6: Final answer
    x = 4,940.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.