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Finding the Fourth Proportional to 5,817.84, 8,723.12 and 3,841.37

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Solution

The fourth proportional to 5,817.84, 8,723.12 and 3,841.37 is: 5,759.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.84 : 8,723.12 = 3,841.37 : x
  2. Step 2: Convert to fraction form
    5,817.84/8,723.12 = 3,841.37/x
  3. Step 3: Cross multiply
    5,817.84x = 8,723.12 × 3,841.37
  4. Step 4: Simplify right side
    5,817.84x = 33,508,734.08
  5. Step 5: Solve for x
    x = 33,508,734.08/5,817.84
  6. Step 6: Final answer
    x = 5,759.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.