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Finding the Fourth Proportional to 3,965.68, 5,471.78 and 2,372.10

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Solution

The fourth proportional to 3,965.68, 5,471.78 and 2,372.10 is: 3,272.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.68 : 5,471.78 = 2,372.10 : x
  2. Step 2: Convert to fraction form
    3,965.68/5,471.78 = 2,372.10/x
  3. Step 3: Cross multiply
    3,965.68x = 5,471.78 × 2,372.10
  4. Step 4: Simplify right side
    3,965.68x = 12,979,609.34
  5. Step 5: Solve for x
    x = 12,979,609.34/3,965.68
  6. Step 6: Final answer
    x = 3,272.98

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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.