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Finding the Fourth Proportional to 5,145.53, 7,718.22 and 1,249.92

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Solution

The fourth proportional to 5,145.53, 7,718.22 and 1,249.92 is: 1,874.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.53 : 7,718.22 = 1,249.92 : x
  2. Step 2: Convert to fraction form
    5,145.53/7,718.22 = 1,249.92/x
  3. Step 3: Cross multiply
    5,145.53x = 7,718.22 × 1,249.92
  4. Step 4: Simplify right side
    5,145.53x = 9,647,157.54
  5. Step 5: Solve for x
    x = 9,647,157.54/5,145.53
  6. Step 6: Final answer
    x = 1,874.86

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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.