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Finding the Fourth Proportional to 3,793.95, 5,678.76 and 2,034.57

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Solution

The fourth proportional to 3,793.95, 5,678.76 and 2,034.57 is: 3,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.95 : 5,678.76 = 2,034.57 : x
  2. Step 2: Convert to fraction form
    3,793.95/5,678.76 = 2,034.57/x
  3. Step 3: Cross multiply
    3,793.95x = 5,678.76 × 2,034.57
  4. Step 4: Simplify right side
    3,793.95x = 11,553,834.73
  5. Step 5: Solve for x
    x = 11,553,834.73/3,793.95
  6. Step 6: Final answer
    x = 3,045.33

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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.