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Finding the Fourth Proportional to 5,676.17, 8,514.26 and 1,780.88

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Solution

The fourth proportional to 5,676.17, 8,514.26 and 1,780.88 is: 2,671.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.17 : 8,514.26 = 1,780.88 : x
  2. Step 2: Convert to fraction form
    5,676.17/8,514.26 = 1,780.88/x
  3. Step 3: Cross multiply
    5,676.17x = 8,514.26 × 1,780.88
  4. Step 4: Simplify right side
    5,676.17x = 15,162,823.87
  5. Step 5: Solve for x
    x = 15,162,823.87/5,676.17
  6. Step 6: Final answer
    x = 2,671.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.