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Finding the Fourth Proportional to 3,496.99, 5,244.78 and 2,243.87

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Solution

The fourth proportional to 3,496.99, 5,244.78 and 2,243.87 is: 3,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.99 : 5,244.78 = 2,243.87 : x
  2. Step 2: Convert to fraction form
    3,496.99/5,244.78 = 2,243.87/x
  3. Step 3: Cross multiply
    3,496.99x = 5,244.78 × 2,243.87
  4. Step 4: Simplify right side
    3,496.99x = 11,768,604.50
  5. Step 5: Solve for x
    x = 11,768,604.50/3,496.99
  6. Step 6: Final answer
    x = 3,365.35

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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.