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Finding the Fourth Proportional to 3,861.84, 5,791.45 and 1,264.17

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Solution

The fourth proportional to 3,861.84, 5,791.45 and 1,264.17 is: 1,895.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,861.84 : 5,791.45 = 1,264.17 : x
  2. Step 2: Convert to fraction form
    3,861.84/5,791.45 = 1,264.17/x
  3. Step 3: Cross multiply
    3,861.84x = 5,791.45 × 1,264.17
  4. Step 4: Simplify right side
    3,861.84x = 7,321,377.35
  5. Step 5: Solve for x
    x = 7,321,377.35/3,861.84
  6. Step 6: Final answer
    x = 1,895.83

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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.