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Finding the Fourth Proportional to 3,468.44, 5,189.70 and 2,008.28

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Solution

The fourth proportional to 3,468.44, 5,189.70 and 2,008.28 is: 3,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.44 : 5,189.70 = 2,008.28 : x
  2. Step 2: Convert to fraction form
    3,468.44/5,189.70 = 2,008.28/x
  3. Step 3: Cross multiply
    3,468.44x = 5,189.70 × 2,008.28
  4. Step 4: Simplify right side
    3,468.44x = 10,422,370.72
  5. Step 5: Solve for x
    x = 10,422,370.72/3,468.44
  6. Step 6: Final answer
    x = 3,004.92

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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.