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Finding the Fourth Proportional to 4,908.28, 7,361.64 and 1,444.72

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Solution

The fourth proportional to 4,908.28, 7,361.64 and 1,444.72 is: 2,166.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,908.28 : 7,361.64 = 1,444.72 : x
  2. Step 2: Convert to fraction form
    4,908.28/7,361.64 = 1,444.72/x
  3. Step 3: Cross multiply
    4,908.28x = 7,361.64 × 1,444.72
  4. Step 4: Simplify right side
    4,908.28x = 10,635,508.54
  5. Step 5: Solve for x
    x = 10,635,508.54/4,908.28
  6. Step 6: Final answer
    x = 2,166.85

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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.