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Finding the Fourth Proportional to 3,676.94, 5,514.82 and 3,056.22

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Solution

The fourth proportional to 3,676.94, 5,514.82 and 3,056.22 is: 4,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.94 : 5,514.82 = 3,056.22 : x
  2. Step 2: Convert to fraction form
    3,676.94/5,514.82 = 3,056.22/x
  3. Step 3: Cross multiply
    3,676.94x = 5,514.82 × 3,056.22
  4. Step 4: Simplify right side
    3,676.94x = 16,854,460.33
  5. Step 5: Solve for x
    x = 16,854,460.33/3,676.94
  6. Step 6: Final answer
    x = 4,583.83

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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.