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Finding the Fourth Proportional to 4,241.31, 6,365 and 3,142.36

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Solution

The fourth proportional to 4,241.31, 6,365 and 3,142.36 is: 4,715.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,241.31 : 6,365 = 3,142.36 : x
  2. Step 2: Convert to fraction form
    4,241.31/6,365 = 3,142.36/x
  3. Step 3: Cross multiply
    4,241.31x = 6,365 × 3,142.36
  4. Step 4: Simplify right side
    4,241.31x = 20,001,121.40
  5. Step 5: Solve for x
    x = 20,001,121.40/4,241.31
  6. Step 6: Final answer
    x = 4,715.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.