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Finding the Fourth Proportional to 5,218.37, 7,825.07 and 3,027.77

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Solution

The fourth proportional to 5,218.37, 7,825.07 and 3,027.77 is: 4,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,218.37 : 7,825.07 = 3,027.77 : x
  2. Step 2: Convert to fraction form
    5,218.37/7,825.07 = 3,027.77/x
  3. Step 3: Cross multiply
    5,218.37x = 7,825.07 × 3,027.77
  4. Step 4: Simplify right side
    5,218.37x = 23,692,480.64
  5. Step 5: Solve for x
    x = 23,692,480.64/5,218.37
  6. Step 6: Final answer
    x = 4,540.21

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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.