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Finding the Fourth Proportional to 5,249.54, 7,874.30 and 1,353.94

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Solution

The fourth proportional to 5,249.54, 7,874.30 and 1,353.94 is: 2,030.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.54 : 7,874.30 = 1,353.94 : x
  2. Step 2: Convert to fraction form
    5,249.54/7,874.30 = 1,353.94/x
  3. Step 3: Cross multiply
    5,249.54x = 7,874.30 × 1,353.94
  4. Step 4: Simplify right side
    5,249.54x = 10,661,313.44
  5. Step 5: Solve for x
    x = 10,661,313.44/5,249.54
  6. Step 6: Final answer
    x = 2,030.90

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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.