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Finding the Fourth Proportional to 5,144.59, 7,714.22 and 2,512.22

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Solution

The fourth proportional to 5,144.59, 7,714.22 and 2,512.22 is: 3,767.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.59 : 7,714.22 = 2,512.22 : x
  2. Step 2: Convert to fraction form
    5,144.59/7,714.22 = 2,512.22/x
  3. Step 3: Cross multiply
    5,144.59x = 7,714.22 × 2,512.22
  4. Step 4: Simplify right side
    5,144.59x = 19,379,779.20
  5. Step 5: Solve for x
    x = 19,379,779.20/5,144.59
  6. Step 6: Final answer
    x = 3,767.02

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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.