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Finding the Fourth Proportional to 3,809.75, 5,714.24 and 1,176.55

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Solution

The fourth proportional to 3,809.75, 5,714.24 and 1,176.55 is: 1,764.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.75 : 5,714.24 = 1,176.55 : x
  2. Step 2: Convert to fraction form
    3,809.75/5,714.24 = 1,176.55/x
  3. Step 3: Cross multiply
    3,809.75x = 5,714.24 × 1,176.55
  4. Step 4: Simplify right side
    3,809.75x = 6,723,077.73
  5. Step 5: Solve for x
    x = 6,723,077.73/3,809.75
  6. Step 6: Final answer
    x = 1,764.71

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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.