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Finding the Fourth Proportional to 3,777.68, 5,213.14 and 2,099.05

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Solution

The fourth proportional to 3,777.68, 5,213.14 and 2,099.05 is: 2,896.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.68 : 5,213.14 = 2,099.05 : x
  2. Step 2: Convert to fraction form
    3,777.68/5,213.14 = 2,099.05/x
  3. Step 3: Cross multiply
    3,777.68x = 5,213.14 × 2,099.05
  4. Step 4: Simplify right side
    3,777.68x = 10,942,623.24
  5. Step 5: Solve for x
    x = 10,942,623.24/3,777.68
  6. Step 6: Final answer
    x = 2,896.65

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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.