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Finding the Fourth Proportional to 5,719.25, 7,893.31 and 3,202.32

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Solution

The fourth proportional to 5,719.25, 7,893.31 and 3,202.32 is: 4,419.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,719.25 : 7,893.31 = 3,202.32 : x
  2. Step 2: Convert to fraction form
    5,719.25/7,893.31 = 3,202.32/x
  3. Step 3: Cross multiply
    5,719.25x = 7,893.31 × 3,202.32
  4. Step 4: Simplify right side
    5,719.25x = 25,276,904.48
  5. Step 5: Solve for x
    x = 25,276,904.48/5,719.25
  6. Step 6: Final answer
    x = 4,419.62

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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.