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Finding the Fourth Proportional to 5,496.88, 7,584.60 and 3,260.44

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Solution

The fourth proportional to 5,496.88, 7,584.60 and 3,260.44 is: 4,498.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,496.88 : 7,584.60 = 3,260.44 : x
  2. Step 2: Convert to fraction form
    5,496.88/7,584.60 = 3,260.44/x
  3. Step 3: Cross multiply
    5,496.88x = 7,584.60 × 3,260.44
  4. Step 4: Simplify right side
    5,496.88x = 24,729,133.22
  5. Step 5: Solve for x
    x = 24,729,133.22/5,496.88
  6. Step 6: Final answer
    x = 4,498.76

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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.