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Finding the Fourth Proportional to 3,796.65, 5,691.60 and 2,042.61

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Solution

The fourth proportional to 3,796.65, 5,691.60 and 2,042.61 is: 3,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.65 : 5,691.60 = 2,042.61 : x
  2. Step 2: Convert to fraction form
    3,796.65/5,691.60 = 2,042.61/x
  3. Step 3: Cross multiply
    3,796.65x = 5,691.60 × 2,042.61
  4. Step 4: Simplify right side
    3,796.65x = 11,625,719.08
  5. Step 5: Solve for x
    x = 11,625,719.08/3,796.65
  6. Step 6: Final answer
    x = 3,062.10

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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.