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Finding the Fourth Proportional to 3,853.50, 5,780.39 and 1,080.43

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Solution

The fourth proportional to 3,853.50, 5,780.39 and 1,080.43 is: 1,620.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.50 : 5,780.39 = 1,080.43 : x
  2. Step 2: Convert to fraction form
    3,853.50/5,780.39 = 1,080.43/x
  3. Step 3: Cross multiply
    3,853.50x = 5,780.39 × 1,080.43
  4. Step 4: Simplify right side
    3,853.50x = 6,245,306.77
  5. Step 5: Solve for x
    x = 6,245,306.77/3,853.50
  6. Step 6: Final answer
    x = 1,620.68

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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.