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Finding the Fourth Proportional to 5,676.94, 8,514.40 and 1,727.24

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Solution

The fourth proportional to 5,676.94, 8,514.40 and 1,727.24 is: 2,590.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.94 : 8,514.40 = 1,727.24 : x
  2. Step 2: Convert to fraction form
    5,676.94/8,514.40 = 1,727.24/x
  3. Step 3: Cross multiply
    5,676.94x = 8,514.40 × 1,727.24
  4. Step 4: Simplify right side
    5,676.94x = 14,706,416.50
  5. Step 5: Solve for x
    x = 14,706,416.50/5,676.94
  6. Step 6: Final answer
    x = 2,590.56

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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.