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Finding the Fourth Proportional to 5,817.38, 8,029.82 and 3,927.65

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Solution

The fourth proportional to 5,817.38, 8,029.82 and 3,927.65 is: 5,421.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.38 : 8,029.82 = 3,927.65 : x
  2. Step 2: Convert to fraction form
    5,817.38/8,029.82 = 3,927.65/x
  3. Step 3: Cross multiply
    5,817.38x = 8,029.82 × 3,927.65
  4. Step 4: Simplify right side
    5,817.38x = 31,538,302.88
  5. Step 5: Solve for x
    x = 31,538,302.88/5,817.38
  6. Step 6: Final answer
    x = 5,421.39

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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.