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Finding the Fourth Proportional to 5,965.66, 8,231.30 and 3,607.75

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Solution

The fourth proportional to 5,965.66, 8,231.30 and 3,607.75 is: 4,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.66 : 8,231.30 = 3,607.75 : x
  2. Step 2: Convert to fraction form
    5,965.66/8,231.30 = 3,607.75/x
  3. Step 3: Cross multiply
    5,965.66x = 8,231.30 × 3,607.75
  4. Step 4: Simplify right side
    5,965.66x = 29,696,413.38
  5. Step 5: Solve for x
    x = 29,696,413.38/5,965.66
  6. Step 6: Final answer
    x = 4,977.90

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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.