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Finding the Fourth Proportional to 5,714.43, 7,884.12 and 3,196.20

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Solution

The fourth proportional to 5,714.43, 7,884.12 and 3,196.20 is: 4,409.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.43 : 7,884.12 = 3,196.20 : x
  2. Step 2: Convert to fraction form
    5,714.43/7,884.12 = 3,196.20/x
  3. Step 3: Cross multiply
    5,714.43x = 7,884.12 × 3,196.20
  4. Step 4: Simplify right side
    5,714.43x = 25,199,224.34
  5. Step 5: Solve for x
    x = 25,199,224.34/5,714.43
  6. Step 6: Final answer
    x = 4,409.75

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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.