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Finding the Fourth Proportional to 3,412.08, 5,116.86 and 2,683.08

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Solution

The fourth proportional to 3,412.08, 5,116.86 and 2,683.08 is: 4,023.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.08 : 5,116.86 = 2,683.08 : x
  2. Step 2: Convert to fraction form
    3,412.08/5,116.86 = 2,683.08/x
  3. Step 3: Cross multiply
    3,412.08x = 5,116.86 × 2,683.08
  4. Step 4: Simplify right side
    3,412.08x = 13,728,944.73
  5. Step 5: Solve for x
    x = 13,728,944.73/3,412.08
  6. Step 6: Final answer
    x = 4,023.63

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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.