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Finding the Fourth Proportional to 5,858.07, 8,087.48 and 3,874.38

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Solution

The fourth proportional to 5,858.07, 8,087.48 and 3,874.38 is: 5,348.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,858.07 : 8,087.48 = 3,874.38 : x
  2. Step 2: Convert to fraction form
    5,858.07/8,087.48 = 3,874.38/x
  3. Step 3: Cross multiply
    5,858.07x = 8,087.48 × 3,874.38
  4. Step 4: Simplify right side
    5,858.07x = 31,333,951.39
  5. Step 5: Solve for x
    x = 31,333,951.39/5,858.07
  6. Step 6: Final answer
    x = 5,348.85

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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.