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Finding the Fourth Proportional to 5,676.36, 8,514.54 and 1,781.06

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Solution

The fourth proportional to 5,676.36, 8,514.54 and 1,781.06 is: 2,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,676.36 : 8,514.54 = 1,781.06 : x
  2. Step 2: Convert to fraction form
    5,676.36/8,514.54 = 1,781.06/x
  3. Step 3: Cross multiply
    5,676.36x = 8,514.54 × 1,781.06
  4. Step 4: Simplify right side
    5,676.36x = 15,164,906.61
  5. Step 5: Solve for x
    x = 15,164,906.61/5,676.36
  6. Step 6: Final answer
    x = 2,671.59

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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.