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Finding the Fourth Proportional to 5,833.62, 8,046.54 and 3,474

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Solution

The fourth proportional to 5,833.62, 8,046.54 and 3,474 is: 4,791.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.62 : 8,046.54 = 3,474 : x
  2. Step 2: Convert to fraction form
    5,833.62/8,046.54 = 3,474/x
  3. Step 3: Cross multiply
    5,833.62x = 8,046.54 × 3,474
  4. Step 4: Simplify right side
    5,833.62x = 27,953,679.96
  5. Step 5: Solve for x
    x = 27,953,679.96/5,833.62
  6. Step 6: Final answer
    x = 4,791.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.