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Finding the Fourth Proportional to 3,999.45, 5,999.16 and 3,076.65

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Solution

The fourth proportional to 3,999.45, 5,999.16 and 3,076.65 is: 4,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,999.45 : 5,999.16 = 3,076.65 : x
  2. Step 2: Convert to fraction form
    3,999.45/5,999.16 = 3,076.65/x
  3. Step 3: Cross multiply
    3,999.45x = 5,999.16 × 3,076.65
  4. Step 4: Simplify right side
    3,999.45x = 18,457,315.61
  5. Step 5: Solve for x
    x = 18,457,315.61/3,999.45
  6. Step 6: Final answer
    x = 4,614.96

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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.