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Finding the Fourth Proportional to 3,834.86, 5,292.54 and 2,241.91

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Solution

The fourth proportional to 3,834.86, 5,292.54 and 2,241.91 is: 3,094.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.86 : 5,292.54 = 2,241.91 : x
  2. Step 2: Convert to fraction form
    3,834.86/5,292.54 = 2,241.91/x
  3. Step 3: Cross multiply
    3,834.86x = 5,292.54 × 2,241.91
  4. Step 4: Simplify right side
    3,834.86x = 11,865,404.97
  5. Step 5: Solve for x
    x = 11,865,404.97/3,834.86
  6. Step 6: Final answer
    x = 3,094.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.