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Finding the Fourth Proportional to 3,816.66, 5,264.73 and 2,824.50

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Solution

The fourth proportional to 3,816.66, 5,264.73 and 2,824.50 is: 3,896.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.66 : 5,264.73 = 2,824.50 : x
  2. Step 2: Convert to fraction form
    3,816.66/5,264.73 = 2,824.50/x
  3. Step 3: Cross multiply
    3,816.66x = 5,264.73 × 2,824.50
  4. Step 4: Simplify right side
    3,816.66x = 14,870,229.89
  5. Step 5: Solve for x
    x = 14,870,229.89/3,816.66
  6. Step 6: Final answer
    x = 3,896.14

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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.