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Finding the Fourth Proportional to 3,660.28, 5,490.66 and 1,063

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Solution

The fourth proportional to 3,660.28, 5,490.66 and 1,063 is: 1,594.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.28 : 5,490.66 = 1,063 : x
  2. Step 2: Convert to fraction form
    3,660.28/5,490.66 = 1,063/x
  3. Step 3: Cross multiply
    3,660.28x = 5,490.66 × 1,063
  4. Step 4: Simplify right side
    3,660.28x = 5,836,571.58
  5. Step 5: Solve for x
    x = 5,836,571.58/3,660.28
  6. Step 6: Final answer
    x = 1,594.57

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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.