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Finding the Fourth Proportional to 3,816.56, 5,713.32 and 2,514.80

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Solution

The fourth proportional to 3,816.56, 5,713.32 and 2,514.80 is: 3,764.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.56 : 5,713.32 = 2,514.80 : x
  2. Step 2: Convert to fraction form
    3,816.56/5,713.32 = 2,514.80/x
  3. Step 3: Cross multiply
    3,816.56x = 5,713.32 × 2,514.80
  4. Step 4: Simplify right side
    3,816.56x = 14,367,857.14
  5. Step 5: Solve for x
    x = 14,367,857.14/3,816.56
  6. Step 6: Final answer
    x = 3,764.61

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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.