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Finding the Fourth Proportional to 3,496.98, 4,824.32 and 2,004.56

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Solution

The fourth proportional to 3,496.98, 4,824.32 and 2,004.56 is: 2,765.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.98 : 4,824.32 = 2,004.56 : x
  2. Step 2: Convert to fraction form
    3,496.98/4,824.32 = 2,004.56/x
  3. Step 3: Cross multiply
    3,496.98x = 4,824.32 × 2,004.56
  4. Step 4: Simplify right side
    3,496.98x = 9,670,604.75
  5. Step 5: Solve for x
    x = 9,670,604.75/3,496.98
  6. Step 6: Final answer
    x = 2,765.42

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1.5x scale

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.