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Finding the Fourth Proportional to 3,679.42, 5,078.27 and 2,188.16

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Solution

The fourth proportional to 3,679.42, 5,078.27 and 2,188.16 is: 3,020.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.42 : 5,078.27 = 2,188.16 : x
  2. Step 2: Convert to fraction form
    3,679.42/5,078.27 = 2,188.16/x
  3. Step 3: Cross multiply
    3,679.42x = 5,078.27 × 2,188.16
  4. Step 4: Simplify right side
    3,679.42x = 11,112,067.28
  5. Step 5: Solve for x
    x = 11,112,067.28/3,679.42
  6. Step 6: Final answer
    x = 3,020.06

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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.