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Finding the Fourth Proportional to 5,676.29, 8,514.50 and 1,728.19

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Solution

The fourth proportional to 5,676.29, 8,514.50 and 1,728.19 is: 2,592.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.29 : 8,514.50 = 1,728.19 : x
  2. Step 2: Convert to fraction form
    5,676.29/8,514.50 = 1,728.19/x
  3. Step 3: Cross multiply
    5,676.29x = 8,514.50 × 1,728.19
  4. Step 4: Simplify right side
    5,676.29x = 14,714,673.76
  5. Step 5: Solve for x
    x = 14,714,673.76/5,676.29
  6. Step 6: Final answer
    x = 2,592.30

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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.