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Finding the Fourth Proportional to 5,425.75, 8,134.03 and 2,141.20

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Solution

The fourth proportional to 5,425.75, 8,134.03 and 2,141.20 is: 3,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,425.75 : 8,134.03 = 2,141.20 : x
  2. Step 2: Convert to fraction form
    5,425.75/8,134.03 = 2,141.20/x
  3. Step 3: Cross multiply
    5,425.75x = 8,134.03 × 2,141.20
  4. Step 4: Simplify right side
    5,425.75x = 17,416,585.04
  5. Step 5: Solve for x
    x = 17,416,585.04/5,425.75
  6. Step 6: Final answer
    x = 3,209.99

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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.