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Finding the Fourth Proportional to 5,425.56, 8,138.22 and 1,728.05

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Solution

The fourth proportional to 5,425.56, 8,138.22 and 1,728.05 is: 2,592.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.56 : 8,138.22 = 1,728.05 : x
  2. Step 2: Convert to fraction form
    5,425.56/8,138.22 = 1,728.05/x
  3. Step 3: Cross multiply
    5,425.56x = 8,138.22 × 1,728.05
  4. Step 4: Simplify right side
    5,425.56x = 14,063,210.38
  5. Step 5: Solve for x
    x = 14,063,210.38/5,425.56
  6. Step 6: Final answer
    x = 2,592.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.