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Finding the Fourth Proportional to 5,144.58, 7,713.96 and 1,633.92

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Solution

The fourth proportional to 5,144.58, 7,713.96 and 1,633.92 is: 2,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.58 : 7,713.96 = 1,633.92 : x
  2. Step 2: Convert to fraction form
    5,144.58/7,713.96 = 1,633.92/x
  3. Step 3: Cross multiply
    5,144.58x = 7,713.96 × 1,633.92
  4. Step 4: Simplify right side
    5,144.58x = 12,603,993.52
  5. Step 5: Solve for x
    x = 12,603,993.52/5,144.58
  6. Step 6: Final answer
    x = 2,449.96

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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.