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Finding the Fourth Proportional to 5,120.38, 7,676.00 and 1,999.66

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Solution

The fourth proportional to 5,120.38, 7,676.00 and 1,999.66 is: 2,997.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,120.38 : 7,676.00 = 1,999.66 : x
  2. Step 2: Convert to fraction form
    5,120.38/7,676.00 = 1,999.66/x
  3. Step 3: Cross multiply
    5,120.38x = 7,676.00 × 1,999.66
  4. Step 4: Simplify right side
    5,120.38x = 15,349,360.97
  5. Step 5: Solve for x
    x = 15,349,360.97/5,120.38
  6. Step 6: Final answer
    x = 2,997.70

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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.