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Finding the Fourth Proportional to 3,393.78, 5,087.78 and 1,544.24

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Solution

The fourth proportional to 3,393.78, 5,087.78 and 1,544.24 is: 2,315.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.78 : 5,087.78 = 1,544.24 : x
  2. Step 2: Convert to fraction form
    3,393.78/5,087.78 = 1,544.24/x
  3. Step 3: Cross multiply
    3,393.78x = 5,087.78 × 1,544.24
  4. Step 4: Simplify right side
    3,393.78x = 7,856,753.39
  5. Step 5: Solve for x
    x = 7,856,753.39/3,393.78
  6. Step 6: Final answer
    x = 2,315.04

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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.