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Finding the Fourth Proportional to 3,777.84, 5,213.16 and 2,099.24

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Solution

The fourth proportional to 3,777.84, 5,213.16 and 2,099.24 is: 2,896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.84 : 5,213.16 = 2,099.24 : x
  2. Step 2: Convert to fraction form
    3,777.84/5,213.16 = 2,099.24/x
  3. Step 3: Cross multiply
    3,777.84x = 5,213.16 × 2,099.24
  4. Step 4: Simplify right side
    3,777.84x = 10,943,674.00
  5. Step 5: Solve for x
    x = 10,943,674.00/3,777.84
  6. Step 6: Final answer
    x = 2,896.81

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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.