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Finding the Fourth Proportional to 5,895.84, 8,839.26 and 3,817.92

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Solution

The fourth proportional to 5,895.84, 8,839.26 and 3,817.92 is: 5,723.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895.84 : 8,839.26 = 3,817.92 : x
  2. Step 2: Convert to fraction form
    5,895.84/8,839.26 = 3,817.92/x
  3. Step 3: Cross multiply
    5,895.84x = 8,839.26 × 3,817.92
  4. Step 4: Simplify right side
    5,895.84x = 33,747,587.54
  5. Step 5: Solve for x
    x = 33,747,587.54/5,895.84
  6. Step 6: Final answer
    x = 5,723.97

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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.