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Finding the Fourth Proportional to 5,714.09, 7,885.29 and 3,196.21

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Solution

The fourth proportional to 5,714.09, 7,885.29 and 3,196.21 is: 4,410.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.09 : 7,885.29 = 3,196.21 : x
  2. Step 2: Convert to fraction form
    5,714.09/7,885.29 = 3,196.21/x
  3. Step 3: Cross multiply
    5,714.09x = 7,885.29 × 3,196.21
  4. Step 4: Simplify right side
    5,714.09x = 25,203,042.75
  5. Step 5: Solve for x
    x = 25,203,042.75/5,714.09
  6. Step 6: Final answer
    x = 4,410.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.