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Finding the Fourth Proportional to 5,245.77, 7,235.10 and 3,255.24

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Solution

The fourth proportional to 5,245.77, 7,235.10 and 3,255.24 is: 4,489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.77 : 7,235.10 = 3,255.24 : x
  2. Step 2: Convert to fraction form
    5,245.77/7,235.10 = 3,255.24/x
  3. Step 3: Cross multiply
    5,245.77x = 7,235.10 × 3,255.24
  4. Step 4: Simplify right side
    5,245.77x = 23,551,986.92
  5. Step 5: Solve for x
    x = 23,551,986.92/5,245.77
  6. Step 6: Final answer
    x = 4,489.71

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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.