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Finding the Fourth Proportional to 5,714.87, 7,886.60 and 3,197.09

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Solution

The fourth proportional to 5,714.87, 7,886.60 and 3,197.09 is: 4,412.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.87 : 7,886.60 = 3,197.09 : x
  2. Step 2: Convert to fraction form
    5,714.87/7,886.60 = 3,197.09/x
  3. Step 3: Cross multiply
    5,714.87x = 7,886.60 × 3,197.09
  4. Step 4: Simplify right side
    5,714.87x = 25,214,138.55
  5. Step 5: Solve for x
    x = 25,214,138.55/5,714.87
  6. Step 6: Final answer
    x = 4,412.03

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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.