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Finding the Fourth Proportional to 3,737.69, 5,604.62 and 2,093.79

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Solution

The fourth proportional to 3,737.69, 5,604.62 and 2,093.79 is: 3,139.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,737.69 : 5,604.62 = 2,093.79 : x
  2. Step 2: Convert to fraction form
    3,737.69/5,604.62 = 2,093.79/x
  3. Step 3: Cross multiply
    3,737.69x = 5,604.62 × 2,093.79
  4. Step 4: Simplify right side
    3,737.69x = 11,734,886.84
  5. Step 5: Solve for x
    x = 11,734,886.84/3,737.69
  6. Step 6: Final answer
    x = 3,139.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.