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Finding the Fourth Proportional to 5,719.34, 7,893.30 and 3,202.14

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Solution

The fourth proportional to 5,719.34, 7,893.30 and 3,202.14 is: 4,419.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.34 : 7,893.30 = 3,202.14 : x
  2. Step 2: Convert to fraction form
    5,719.34/7,893.30 = 3,202.14/x
  3. Step 3: Cross multiply
    5,719.34x = 7,893.30 × 3,202.14
  4. Step 4: Simplify right side
    5,719.34x = 25,275,451.66
  5. Step 5: Solve for x
    x = 25,275,451.66/5,719.34
  6. Step 6: Final answer
    x = 4,419.30

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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.