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Finding the Fourth Proportional to 3,919.46, 5,879.52 and 997.72

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Solution

The fourth proportional to 3,919.46, 5,879.52 and 997.72 is: 1,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.46 : 5,879.52 = 997.72 : x
  2. Step 2: Convert to fraction form
    3,919.46/5,879.52 = 997.72/x
  3. Step 3: Cross multiply
    3,919.46x = 5,879.52 × 997.72
  4. Step 4: Simplify right side
    3,919.46x = 5,866,100.00
  5. Step 5: Solve for x
    x = 5,866,100.00/3,919.46
  6. Step 6: Final answer
    x = 1,496.66

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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.