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Finding the Fourth Proportional to 3,777.58, 5,213.13 and 2,099.14

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Solution

The fourth proportional to 3,777.58, 5,213.13 and 2,099.14 is: 2,896.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,777.58 : 5,213.13 = 2,099.14 : x
  2. Step 2: Convert to fraction form
    3,777.58/5,213.13 = 2,099.14/x
  3. Step 3: Cross multiply
    3,777.58x = 5,213.13 × 2,099.14
  4. Step 4: Simplify right side
    3,777.58x = 10,943,089.71
  5. Step 5: Solve for x
    x = 10,943,089.71/3,777.58
  6. Step 6: Final answer
    x = 2,896.85

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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.