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Finding the Fourth Proportional to 4,272.40, 5,896.14 and 2,504.14

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Solution

The fourth proportional to 4,272.40, 5,896.14 and 2,504.14 is: 3,455.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,272.40 : 5,896.14 = 2,504.14 : x
  2. Step 2: Convert to fraction form
    4,272.40/5,896.14 = 2,504.14/x
  3. Step 3: Cross multiply
    4,272.40x = 5,896.14 × 2,504.14
  4. Step 4: Simplify right side
    4,272.40x = 14,764,760.02
  5. Step 5: Solve for x
    x = 14,764,760.02/4,272.40
  6. Step 6: Final answer
    x = 3,455.85

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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.