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Finding the Fourth Proportional to 3,724.50, 5,586.75 and 951.17

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Solution

The fourth proportional to 3,724.50, 5,586.75 and 951.17 is: 1,426.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,724.50 : 5,586.75 = 951.17 : x
  2. Step 2: Convert to fraction form
    3,724.50/5,586.75 = 951.17/x
  3. Step 3: Cross multiply
    3,724.50x = 5,586.75 × 951.17
  4. Step 4: Simplify right side
    3,724.50x = 5,313,949.00
  5. Step 5: Solve for x
    x = 5,313,949.00/3,724.50
  6. Step 6: Final answer
    x = 1,426.76

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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.