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Finding the Fourth Proportional to 3,806.77, 5,701.96 and 1,854.88

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Solution

The fourth proportional to 3,806.77, 5,701.96 and 1,854.88 is: 2,778.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,806.77 : 5,701.96 = 1,854.88 : x
  2. Step 2: Convert to fraction form
    3,806.77/5,701.96 = 1,854.88/x
  3. Step 3: Cross multiply
    3,806.77x = 5,701.96 × 1,854.88
  4. Step 4: Simplify right side
    3,806.77x = 10,576,451.56
  5. Step 5: Solve for x
    x = 10,576,451.56/3,806.77
  6. Step 6: Final answer
    x = 2,778.33

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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.