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Finding the Fourth Proportional to 5,249.44, 7,874.48 and 1,353.92

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Solution

The fourth proportional to 5,249.44, 7,874.48 and 1,353.92 is: 2,030.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249.44 : 7,874.48 = 1,353.92 : x
  2. Step 2: Convert to fraction form
    5,249.44/7,874.48 = 1,353.92/x
  3. Step 3: Cross multiply
    5,249.44x = 7,874.48 × 1,353.92
  4. Step 4: Simplify right side
    5,249.44x = 10,661,415.96
  5. Step 5: Solve for x
    x = 10,661,415.96/5,249.44
  6. Step 6: Final answer
    x = 2,030.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.