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Finding the Fourth Proportional to 5,982.30, 8,961.06 and 3,509.66

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Solution

The fourth proportional to 5,982.30, 8,961.06 and 3,509.66 is: 5,257.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.30 : 8,961.06 = 3,509.66 : x
  2. Step 2: Convert to fraction form
    5,982.30/8,961.06 = 3,509.66/x
  3. Step 3: Cross multiply
    5,982.30x = 8,961.06 × 3,509.66
  4. Step 4: Simplify right side
    5,982.30x = 31,450,273.84
  5. Step 5: Solve for x
    x = 31,450,273.84/5,982.30
  6. Step 6: Final answer
    x = 5,257.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.