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Finding the Fourth Proportional to 3,514.70, 5,272.14 and 1,174.62

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Solution

The fourth proportional to 3,514.70, 5,272.14 and 1,174.62 is: 1,761.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,514.70 : 5,272.14 = 1,174.62 : x
  2. Step 2: Convert to fraction form
    3,514.70/5,272.14 = 1,174.62/x
  3. Step 3: Cross multiply
    3,514.70x = 5,272.14 × 1,174.62
  4. Step 4: Simplify right side
    3,514.70x = 6,192,761.09
  5. Step 5: Solve for x
    x = 6,192,761.09/3,514.70
  6. Step 6: Final answer
    x = 1,761.96

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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.