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Finding the Fourth Proportional to 3,458.69, 5,186.84 and 1,118.09

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Solution

The fourth proportional to 3,458.69, 5,186.84 and 1,118.09 is: 1,676.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,458.69 : 5,186.84 = 1,118.09 : x
  2. Step 2: Convert to fraction form
    3,458.69/5,186.84 = 1,118.09/x
  3. Step 3: Cross multiply
    3,458.69x = 5,186.84 × 1,118.09
  4. Step 4: Simplify right side
    3,458.69x = 5,799,348.35
  5. Step 5: Solve for x
    x = 5,799,348.35/3,458.69
  6. Step 6: Final answer
    x = 1,676.75

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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.