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Finding the Fourth Proportional to 3,694.33, 5,124.30 and 3,561.34

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Solution

The fourth proportional to 3,694.33, 5,124.30 and 3,561.34 is: 4,939.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.33 : 5,124.30 = 3,561.34 : x
  2. Step 2: Convert to fraction form
    3,694.33/5,124.30 = 3,561.34/x
  3. Step 3: Cross multiply
    3,694.33x = 5,124.30 × 3,561.34
  4. Step 4: Simplify right side
    3,694.33x = 18,249,361.75
  5. Step 5: Solve for x
    x = 18,249,361.75/3,694.33
  6. Step 6: Final answer
    x = 4,939.83

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.