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Finding the Fourth Proportional to 3,881.55, 5,819.81 and 1,661.83

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Solution

The fourth proportional to 3,881.55, 5,819.81 and 1,661.83 is: 2,491.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.55 : 5,819.81 = 1,661.83 : x
  2. Step 2: Convert to fraction form
    3,881.55/5,819.81 = 1,661.83/x
  3. Step 3: Cross multiply
    3,881.55x = 5,819.81 × 1,661.83
  4. Step 4: Simplify right side
    3,881.55x = 9,671,497.44
  5. Step 5: Solve for x
    x = 9,671,497.44/3,881.55
  6. Step 6: Final answer
    x = 2,491.66

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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.