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Finding the Fourth Proportional to 3,676.15, 5,514.15 and 1,209.97

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Solution

The fourth proportional to 3,676.15, 5,514.15 and 1,209.97 is: 1,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.15 : 5,514.15 = 1,209.97 : x
  2. Step 2: Convert to fraction form
    3,676.15/5,514.15 = 1,209.97/x
  3. Step 3: Cross multiply
    3,676.15x = 5,514.15 × 1,209.97
  4. Step 4: Simplify right side
    3,676.15x = 6,671,956.08
  5. Step 5: Solve for x
    x = 6,671,956.08/3,676.15
  6. Step 6: Final answer
    x = 1,814.93

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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.