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Finding the Fourth Proportional to 5,677.93, 7,836.23 and 3,439.75

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Solution

The fourth proportional to 5,677.93, 7,836.23 and 3,439.75 is: 4,747.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.93 : 7,836.23 = 3,439.75 : x
  2. Step 2: Convert to fraction form
    5,677.93/7,836.23 = 3,439.75/x
  3. Step 3: Cross multiply
    5,677.93x = 7,836.23 × 3,439.75
  4. Step 4: Simplify right side
    5,677.93x = 26,954,672.14
  5. Step 5: Solve for x
    x = 26,954,672.14/5,677.93
  6. Step 6: Final answer
    x = 4,747.27

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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.