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Finding the Fourth Proportional to 3,881.61, 5,817.54 and 2,769.27

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Solution

The fourth proportional to 3,881.61, 5,817.54 and 2,769.27 is: 4,150.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.61 : 5,817.54 = 2,769.27 : x
  2. Step 2: Convert to fraction form
    3,881.61/5,817.54 = 2,769.27/x
  3. Step 3: Cross multiply
    3,881.61x = 5,817.54 × 2,769.27
  4. Step 4: Simplify right side
    3,881.61x = 16,110,339.00
  5. Step 5: Solve for x
    x = 16,110,339.00/3,881.61
  6. Step 6: Final answer
    x = 4,150.43

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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.