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Finding the Fourth Proportional to 5,838.39, 8,759.03 and 1,942.83

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Solution

The fourth proportional to 5,838.39, 8,759.03 and 1,942.83 is: 2,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,838.39 : 8,759.03 = 1,942.83 : x
  2. Step 2: Convert to fraction form
    5,838.39/8,759.03 = 1,942.83/x
  3. Step 3: Cross multiply
    5,838.39x = 8,759.03 × 1,942.83
  4. Step 4: Simplify right side
    5,838.39x = 17,017,306.25
  5. Step 5: Solve for x
    x = 17,017,306.25/5,838.39
  6. Step 6: Final answer
    x = 2,914.73

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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.