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Finding the Fourth Proportional to 5,704.21, 7,872.15 and 3,346.50

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Solution

The fourth proportional to 5,704.21, 7,872.15 and 3,346.50 is: 4,618.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,704.21 : 7,872.15 = 3,346.50 : x
  2. Step 2: Convert to fraction form
    5,704.21/7,872.15 = 3,346.50/x
  3. Step 3: Cross multiply
    5,704.21x = 7,872.15 × 3,346.50
  4. Step 4: Simplify right side
    5,704.21x = 26,344,149.98
  5. Step 5: Solve for x
    x = 26,344,149.98/5,704.21
  6. Step 6: Final answer
    x = 4,618.37

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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.