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Finding the Fourth Proportional to 5,714.28, 7,885.64 and 3,196.35

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Solution

The fourth proportional to 5,714.28, 7,885.64 and 3,196.35 is: 4,410.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.28 : 7,885.64 = 3,196.35 : x
  2. Step 2: Convert to fraction form
    5,714.28/7,885.64 = 3,196.35/x
  3. Step 3: Cross multiply
    5,714.28x = 7,885.64 × 3,196.35
  4. Step 4: Simplify right side
    5,714.28x = 25,205,273.40
  5. Step 5: Solve for x
    x = 25,205,273.40/5,714.28
  6. Step 6: Final answer
    x = 4,410.93

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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.