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Finding the Fourth Proportional to 3,805.98, 5,251.76 and 2,233.50

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Solution

The fourth proportional to 3,805.98, 5,251.76 and 2,233.50 is: 3,081.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.98 : 5,251.76 = 2,233.50 : x
  2. Step 2: Convert to fraction form
    3,805.98/5,251.76 = 2,233.50/x
  3. Step 3: Cross multiply
    3,805.98x = 5,251.76 × 2,233.50
  4. Step 4: Simplify right side
    3,805.98x = 11,729,805.96
  5. Step 5: Solve for x
    x = 11,729,805.96/3,805.98
  6. Step 6: Final answer
    x = 3,081.94

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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.