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Finding the Fourth Proportional to 5,145.27, 7,717.90 and 1,249.67

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Solution

The fourth proportional to 5,145.27, 7,717.90 and 1,249.67 is: 1,874.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,145.27 : 7,717.90 = 1,249.67 : x
  2. Step 2: Convert to fraction form
    5,145.27/7,717.90 = 1,249.67/x
  3. Step 3: Cross multiply
    5,145.27x = 7,717.90 × 1,249.67
  4. Step 4: Simplify right side
    5,145.27x = 9,644,828.09
  5. Step 5: Solve for x
    x = 9,644,828.09/5,145.27
  6. Step 6: Final answer
    x = 1,874.51

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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.