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Finding the Fourth Proportional to 5,828.63, 8,046.77 and 4,463.31

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Solution

The fourth proportional to 5,828.63, 8,046.77 and 4,463.31 is: 6,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.63 : 8,046.77 = 4,463.31 : x
  2. Step 2: Convert to fraction form
    5,828.63/8,046.77 = 4,463.31/x
  3. Step 3: Cross multiply
    5,828.63x = 8,046.77 × 4,463.31
  4. Step 4: Simplify right side
    5,828.63x = 35,915,229.01
  5. Step 5: Solve for x
    x = 35,915,229.01/5,828.63
  6. Step 6: Final answer
    x = 6,161.86

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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.