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Finding the Fourth Proportional to 5,625.44, 7,763.10 and 3,268.03

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Solution

The fourth proportional to 5,625.44, 7,763.10 and 3,268.03 is: 4,509.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625.44 : 7,763.10 = 3,268.03 : x
  2. Step 2: Convert to fraction form
    5,625.44/7,763.10 = 3,268.03/x
  3. Step 3: Cross multiply
    5,625.44x = 7,763.10 × 3,268.03
  4. Step 4: Simplify right side
    5,625.44x = 25,370,043.69
  5. Step 5: Solve for x
    x = 25,370,043.69/5,625.44
  6. Step 6: Final answer
    x = 4,509.88

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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.