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Finding the Fourth Proportional to 4,253.88, 6,371.64 and 2,301.96

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Solution

The fourth proportional to 4,253.88, 6,371.64 and 2,301.96 is: 3,447.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.88 : 6,371.64 = 2,301.96 : x
  2. Step 2: Convert to fraction form
    4,253.88/6,371.64 = 2,301.96/x
  3. Step 3: Cross multiply
    4,253.88x = 6,371.64 × 2,301.96
  4. Step 4: Simplify right side
    4,253.88x = 14,667,260.41
  5. Step 5: Solve for x
    x = 14,667,260.41/4,253.88
  6. Step 6: Final answer
    x = 3,447.97

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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.