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Finding the Fourth Proportional to 3,493, 4,820.34 and 2,096.20

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Solution

The fourth proportional to 3,493, 4,820.34 and 2,096.20 is: 2,892.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,493 : 4,820.34 = 2,096.20 : x
  2. Step 2: Convert to fraction form
    3,493/4,820.34 = 2,096.20/x
  3. Step 3: Cross multiply
    3,493x = 4,820.34 × 2,096.20
  4. Step 4: Simplify right side
    3,493x = 10,104,396.71
  5. Step 5: Solve for x
    x = 10,104,396.71/3,493
  6. Step 6: Final answer
    x = 2,892.76

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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.