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Finding the Fourth Proportional to 4,274.56, 5,896.02 and 3,215.08

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Solution

The fourth proportional to 4,274.56, 5,896.02 and 3,215.08 is: 4,434.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,274.56 : 5,896.02 = 3,215.08 : x
  2. Step 2: Convert to fraction form
    4,274.56/5,896.02 = 3,215.08/x
  3. Step 3: Cross multiply
    4,274.56x = 5,896.02 × 3,215.08
  4. Step 4: Simplify right side
    4,274.56x = 18,956,175.98
  5. Step 5: Solve for x
    x = 18,956,175.98/4,274.56
  6. Step 6: Final answer
    x = 4,434.65

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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.