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Finding the Fourth Proportional to 3,965.39, 5,471.15 and 2,371.39

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Solution

The fourth proportional to 3,965.39, 5,471.15 and 2,371.39 is: 3,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.39 : 5,471.15 = 2,371.39 : x
  2. Step 2: Convert to fraction form
    3,965.39/5,471.15 = 2,371.39/x
  3. Step 3: Cross multiply
    3,965.39x = 5,471.15 × 2,371.39
  4. Step 4: Simplify right side
    3,965.39x = 12,974,238.72
  5. Step 5: Solve for x
    x = 12,974,238.72/3,965.39
  6. Step 6: Final answer
    x = 3,271.87

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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.