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Finding the Fourth Proportional to 5,860.86, 8,087.67 and 3,208.38

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Solution

The fourth proportional to 5,860.86, 8,087.67 and 3,208.38 is: 4,427.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,860.86 : 8,087.67 = 3,208.38 : x
  2. Step 2: Convert to fraction form
    5,860.86/8,087.67 = 3,208.38/x
  3. Step 3: Cross multiply
    5,860.86x = 8,087.67 × 3,208.38
  4. Step 4: Simplify right side
    5,860.86x = 25,948,318.67
  5. Step 5: Solve for x
    x = 25,948,318.67/5,860.86
  6. Step 6: Final answer
    x = 4,427.39

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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.