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Finding the Fourth Proportional to 4,249.72, 6,375.18 and 1,784.68

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Solution

The fourth proportional to 4,249.72, 6,375.18 and 1,784.68 is: 2,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,249.72 : 6,375.18 = 1,784.68 : x
  2. Step 2: Convert to fraction form
    4,249.72/6,375.18 = 1,784.68/x
  3. Step 3: Cross multiply
    4,249.72x = 6,375.18 × 1,784.68
  4. Step 4: Simplify right side
    4,249.72x = 11,377,656.24
  5. Step 5: Solve for x
    x = 11,377,656.24/4,249.72
  6. Step 6: Final answer
    x = 2,677.27

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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.