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Finding the Fourth Proportional to 3,817.34, 5,716.29 and 2,514.86

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Solution

The fourth proportional to 3,817.34, 5,716.29 and 2,514.86 is: 3,765.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,817.34 : 5,716.29 = 2,514.86 : x
  2. Step 2: Convert to fraction form
    3,817.34/5,716.29 = 2,514.86/x
  3. Step 3: Cross multiply
    3,817.34x = 5,716.29 × 2,514.86
  4. Step 4: Simplify right side
    3,817.34x = 14,375,669.07
  5. Step 5: Solve for x
    x = 14,375,669.07/3,817.34
  6. Step 6: Final answer
    x = 3,765.89

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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.