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Finding the Fourth Proportional to 3,900.40, 5,381.96 and 2,221.20

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Solution

The fourth proportional to 3,900.40, 5,381.96 and 2,221.20 is: 3,064.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.40 : 5,381.96 = 2,221.20 : x
  2. Step 2: Convert to fraction form
    3,900.40/5,381.96 = 2,221.20/x
  3. Step 3: Cross multiply
    3,900.40x = 5,381.96 × 2,221.20
  4. Step 4: Simplify right side
    3,900.40x = 11,954,409.55
  5. Step 5: Solve for x
    x = 11,954,409.55/3,900.40
  6. Step 6: Final answer
    x = 3,064.92

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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.