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Finding the Fourth Proportional to 3,377.75, 5,066.89 and 1,186.97

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Solution

The fourth proportional to 3,377.75, 5,066.89 and 1,186.97 is: 1,780.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,377.75 : 5,066.89 = 1,186.97 : x
  2. Step 2: Convert to fraction form
    3,377.75/5,066.89 = 1,186.97/x
  3. Step 3: Cross multiply
    3,377.75x = 5,066.89 × 1,186.97
  4. Step 4: Simplify right side
    3,377.75x = 6,014,218.12
  5. Step 5: Solve for x
    x = 6,014,218.12/3,377.75
  6. Step 6: Final answer
    x = 1,780.54

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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.