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Finding the Fourth Proportional to 3,093.86, 4,632.42 and 2,265.86

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Solution

The fourth proportional to 3,093.86, 4,632.42 and 2,265.86 is: 3,392.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,093.86 : 4,632.42 = 2,265.86 : x
  2. Step 2: Convert to fraction form
    3,093.86/4,632.42 = 2,265.86/x
  3. Step 3: Cross multiply
    3,093.86x = 4,632.42 × 2,265.86
  4. Step 4: Simplify right side
    3,093.86x = 10,496,415.18
  5. Step 5: Solve for x
    x = 10,496,415.18/3,093.86
  6. Step 6: Final answer
    x = 3,392.66

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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.