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Finding the Fourth Proportional to 3,627.99, 5,005.50 and 2,449.74

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Solution

The fourth proportional to 3,627.99, 5,005.50 and 2,449.74 is: 3,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,627.99 : 5,005.50 = 2,449.74 : x
  2. Step 2: Convert to fraction form
    3,627.99/5,005.50 = 2,449.74/x
  3. Step 3: Cross multiply
    3,627.99x = 5,005.50 × 2,449.74
  4. Step 4: Simplify right side
    3,627.99x = 12,262,183.15
  5. Step 5: Solve for x
    x = 12,262,183.15/3,627.99
  6. Step 6: Final answer
    x = 3,379.88

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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.