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Finding the Fourth Proportional to 5,489.25, 7,575.18 and 3,005.25

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Solution

The fourth proportional to 5,489.25, 7,575.18 and 3,005.25 is: 4,147.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,489.25 : 7,575.18 = 3,005.25 : x
  2. Step 2: Convert to fraction form
    5,489.25/7,575.18 = 3,005.25/x
  3. Step 3: Cross multiply
    5,489.25x = 7,575.18 × 3,005.25
  4. Step 4: Simplify right side
    5,489.25x = 22,765,309.70
  5. Step 5: Solve for x
    x = 22,765,309.70/5,489.25
  6. Step 6: Final answer
    x = 4,147.25

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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.