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Finding the Fourth Proportional to 3,793.69, 5,235.77 and 2,301.52

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Solution

The fourth proportional to 3,793.69, 5,235.77 and 2,301.52 is: 3,176.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,793.69 : 5,235.77 = 2,301.52 : x
  2. Step 2: Convert to fraction form
    3,793.69/5,235.77 = 2,301.52/x
  3. Step 3: Cross multiply
    3,793.69x = 5,235.77 × 2,301.52
  4. Step 4: Simplify right side
    3,793.69x = 12,050,191.68
  5. Step 5: Solve for x
    x = 12,050,191.68/3,793.69
  6. Step 6: Final answer
    x = 3,176.38

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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.