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Finding the Fourth Proportional to 5,739.46, 7,917.96 and 3,500.98

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Solution

The fourth proportional to 5,739.46, 7,917.96 and 3,500.98 is: 4,829.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.46 : 7,917.96 = 3,500.98 : x
  2. Step 2: Convert to fraction form
    5,739.46/7,917.96 = 3,500.98/x
  3. Step 3: Cross multiply
    5,739.46x = 7,917.96 × 3,500.98
  4. Step 4: Simplify right side
    5,739.46x = 27,720,619.60
  5. Step 5: Solve for x
    x = 27,720,619.60/5,739.46
  6. Step 6: Final answer
    x = 4,829.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.