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Finding the Fourth Proportional to 5,493.28, 8,239.72 and 1,544.57

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Solution

The fourth proportional to 5,493.28, 8,239.72 and 1,544.57 is: 2,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.28 : 8,239.72 = 1,544.57 : x
  2. Step 2: Convert to fraction form
    5,493.28/8,239.72 = 1,544.57/x
  3. Step 3: Cross multiply
    5,493.28x = 8,239.72 × 1,544.57
  4. Step 4: Simplify right side
    5,493.28x = 12,726,824.32
  5. Step 5: Solve for x
    x = 12,726,824.32/5,493.28
  6. Step 6: Final answer
    x = 2,316.80

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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.