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Finding the Fourth Proportional to 4,232.97, 5,842.14 and 2,639.88

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Solution

The fourth proportional to 4,232.97, 5,842.14 and 2,639.88 is: 3,643.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.97 : 5,842.14 = 2,639.88 : x
  2. Step 2: Convert to fraction form
    4,232.97/5,842.14 = 2,639.88/x
  3. Step 3: Cross multiply
    4,232.97x = 5,842.14 × 2,639.88
  4. Step 4: Simplify right side
    4,232.97x = 15,422,548.54
  5. Step 5: Solve for x
    x = 15,422,548.54/4,232.97
  6. Step 6: Final answer
    x = 3,643.43

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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.