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Finding the Fourth Proportional to 5,704.13, 7,871.70 and 3,220.13

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Solution

The fourth proportional to 5,704.13, 7,871.70 and 3,220.13 is: 4,443.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.13 : 7,871.70 = 3,220.13 : x
  2. Step 2: Convert to fraction form
    5,704.13/7,871.70 = 3,220.13/x
  3. Step 3: Cross multiply
    5,704.13x = 7,871.70 × 3,220.13
  4. Step 4: Simplify right side
    5,704.13x = 25,347,857.96
  5. Step 5: Solve for x
    x = 25,347,857.96/5,704.13
  6. Step 6: Final answer
    x = 4,443.78

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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.