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Finding the Fourth Proportional to 5,828.58, 8,043.44 and 3,175.99

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Solution

The fourth proportional to 5,828.58, 8,043.44 and 3,175.99 is: 4,382.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.58 : 8,043.44 = 3,175.99 : x
  2. Step 2: Convert to fraction form
    5,828.58/8,043.44 = 3,175.99/x
  3. Step 3: Cross multiply
    5,828.58x = 8,043.44 × 3,175.99
  4. Step 4: Simplify right side
    5,828.58x = 25,545,836.85
  5. Step 5: Solve for x
    x = 25,545,836.85/5,828.58
  6. Step 6: Final answer
    x = 4,382.86

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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.