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Finding the Fourth Proportional to 5,829.32, 8,046.79 and 3,471

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Solution

The fourth proportional to 5,829.32, 8,046.79 and 3,471 is: 4,791.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.32 : 8,046.79 = 3,471 : x
  2. Step 2: Convert to fraction form
    5,829.32/8,046.79 = 3,471/x
  3. Step 3: Cross multiply
    5,829.32x = 8,046.79 × 3,471
  4. Step 4: Simplify right side
    5,829.32x = 27,930,399.41
  5. Step 5: Solve for x
    x = 27,930,399.41/5,829.32
  6. Step 6: Final answer
    x = 4,791.37

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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.