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Finding the Fourth Proportional to 5,936.96, 8,193.15 and 3,419.69

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Solution

The fourth proportional to 5,936.96, 8,193.15 and 3,419.69 is: 4,719.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,936.96 : 8,193.15 = 3,419.69 : x
  2. Step 2: Convert to fraction form
    5,936.96/8,193.15 = 3,419.69/x
  3. Step 3: Cross multiply
    5,936.96x = 8,193.15 × 3,419.69
  4. Step 4: Simplify right side
    5,936.96x = 28,017,992.16
  5. Step 5: Solve for x
    x = 28,017,992.16/5,936.96
  6. Step 6: Final answer
    x = 4,719.25

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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.