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Finding the Fourth Proportional to 5,963.27, 8,945.10 and 1,581.17

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Solution

The fourth proportional to 5,963.27, 8,945.10 and 1,581.17 is: 2,371.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.27 : 8,945.10 = 1,581.17 : x
  2. Step 2: Convert to fraction form
    5,963.27/8,945.10 = 1,581.17/x
  3. Step 3: Cross multiply
    5,963.27x = 8,945.10 × 1,581.17
  4. Step 4: Simplify right side
    5,963.27x = 14,143,679.04
  5. Step 5: Solve for x
    x = 14,143,679.04/5,963.27
  6. Step 6: Final answer
    x = 2,371.80

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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.